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70429920 = 25351113339
BaseRepresentation
bin1000011001010…
…10110011100000
311220112012200120
410030222303200
5121012224140
610553320240
71513434021
oct414526340
9156465616
1070429920
1136835050
121b706080
131178c412
1494d4c48
1562b31d0
hex432ace0

70429920 has 96 divisors (see below), whose sum is σ = 242040960. Its totient is φ = 17072640.

The previous prime is 70429897. The next prime is 70429921. The reversal of 70429920 is 2992407.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70429921) 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, 1390 + ... + 11949.

It is an arithmetic number, because the mean of its divisors is an integer number (2521260).

Almost surely, 270429920 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 70429920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121020480).

70429920 is an abundant number, since it is smaller than the sum of its proper divisors (171611040).

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

70429920 is a wasteful number, since it uses less digits than its factorization.

70429920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13368 (or 13360 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 70429920 is about 8392.2535710022. The cubic root of 70429920 is about 412.9705337708.

The spelling of 70429920 in words is "seventy million, four hundred twenty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 13339 26678 40017 53356 66695 80034 106712 133390 146729 160068 200085 213424 266780 293458 320136 400170 426848 440187 533560 586916 640272 733645 800340 880374 1067120 1173832 1280544 1467290 1600680 1760748 2134240 2200935 2347664 2934580 3201360 3521496 4401870 4695328 5869160 6402720 7042992 8803740 11738320 14085984 17607480 23476640 35214960 70429920