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742850240 = 26511239883
BaseRepresentation
bin101100010001101…
…111111011000000
31220202210200221212
4230101233323000
53010132201430
6201413505252
724260060066
oct5421577300
91822720855
10742850240
11351357420
12188942228
13bab93372
1470930036
1545338b95
hex2c46fec0

742850240 has 112 divisors (see below), whose sum is σ = 1939991040. Its totient is φ = 268692480.

The previous prime is 742850237. The next prime is 742850257. The reversal of 742850240 is 42058247.

742850240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 742850197 and 742850206.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 840839 + ... + 841721.

Almost surely, 2742850240 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 742850240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969995520).

742850240 is an abundant number, since it is smaller than the sum of its proper divisors (1197140800).

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

742850240 is a wasteful number, since it uses less digits than its factorization.

742850240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 32.

The square root of 742850240 is about 27255.2791216674. The cubic root of 742850240 is about 905.6639674377.

The spelling of 742850240 in words is "seven hundred forty-two million, eight hundred fifty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 239 320 352 440 478 704 880 883 956 1195 1760 1766 1912 2390 2629 3520 3532 3824 4415 4780 5258 7064 7648 8830 9560 9713 10516 13145 14128 15296 17660 19120 19426 21032 26290 28256 35320 38240 38852 42064 48565 52580 56512 70640 76480 77704 84128 97130 105160 141280 155408 168256 194260 210320 211037 282560 310816 388520 420640 422074 621632 777040 841280 844148 1055185 1554080 1688296 2110370 2321407 3108160 3376592 4220740 4642814 6753184 8441480 9285628 11607035 13506368 16882960 18571256 23214070 33765920 37142512 46428140 67531840 74285024 92856280 148570048 185712560 371425120 742850240