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713504000 = 2853112027
BaseRepresentation
bin101010100001110…
…011010100000000
31211201120202111002
4222201303110000
52430124112000
6154444511132
723452453406
oct5241632400
91751522432
10713504000
11336833130
1217ab4b4a8
13b4a89b21
146aa91476
154298d8d5
hex2a873500

713504000 has 144 divisors (see below), whose sum is σ = 1939968576. Its totient is φ = 259328000.

The previous prime is 713503997. The next prime is 713504003. The reversal of 713504000 is 405317.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (713503997) and next prime (713504003).

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (713504003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 350987 + ... + 353013.

It is an arithmetic number, because the mean of its divisors is an integer number (13472004).

Almost surely, 2713504000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 713504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969984288).

713504000 is an abundant number, since it is smaller than the sum of its proper divisors (1226464576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

713504000 is a wasteful number, since it uses less digits than its factorization.

713504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2069 (or 2045 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 713504000 is about 26711.4956526212. The cubic root of 713504000 is about 893.5773200548.

Adding to 713504000 its reverse (405317), we get a palindrome (713909317).

The spelling of 713504000 in words is "seven hundred thirteen million, five hundred four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 128 160 176 200 220 250 256 275 320 352 400 440 500 550 640 704 800 880 1000 1100 1280 1375 1408 1600 1760 2000 2027 2200 2750 2816 3200 3520 4000 4054 4400 5500 6400 7040 8000 8108 8800 10135 11000 14080 16000 16216 17600 20270 22000 22297 32000 32432 35200 40540 44000 44594 50675 64864 70400 81080 88000 89188 101350 111485 129728 162160 176000 178376 202700 222970 253375 259456 324320 352000 356752 405400 445940 506750 518912 557425 648640 713504 810800 891880 1013500 1114850 1297280 1427008 1621600 1783760 2027000 2229700 2594560 2787125 2854016 3243200 3567520 4054000 4459400 5574250 5708032 6486400 7135040 8108000 8918800 11148500 12972800 14270080 16216000 17837600 22297000 28540160 32432000 35675200 44594000 64864000 71350400 89188000 142700800 178376000 356752000 713504000