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70082432 = 2771743107
BaseRepresentation
bin1000010110101…
…01111110000000
311212212120000122
410023111332000
5120420114212
610542035412
71510455650
oct413257600
9155776018
1070082432
1136617a72
121b578b68
131169a1c4
149444360
156245272
hex42d5f80

70082432 has 128 divisors (see below), whose sum is σ = 174493440. Its totient is φ = 27353088.

The previous prime is 70082429. The next prime is 70082437. The reversal of 70082432 is 23428007.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70082437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 654923 + ... + 655029.

It is an arithmetic number, because the mean of its divisors is an integer number (1363230).

Almost surely, 270082432 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 70082432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87246720).

70082432 is an abundant number, since it is smaller than the sum of its proper divisors (104411008).

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

70082432 is a wasteful number, since it uses less digits than its factorization.

70082432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 70082432 is about 8371.5250701410. The cubic root of 70082432 is about 412.2902407062.

The spelling of 70082432 in words is "seventy million, eighty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 43 56 64 68 86 107 112 119 128 136 172 214 224 238 272 301 344 428 448 476 544 602 688 731 749 856 896 952 1088 1204 1376 1462 1498 1712 1819 1904 2176 2408 2752 2924 2996 3424 3638 3808 4601 4816 5117 5504 5848 5992 6848 7276 7616 9202 9632 10234 11696 11984 12733 13696 14552 15232 18404 19264 20468 23392 23968 25466 29104 32207 36808 38528 40936 46784 47936 50932 58208 64414 73616 78217 81872 93568 95872 101864 116416 128828 147232 156434 163744 203728 232832 257656 294464 312868 327488 407456 515312 547519 588928 625736 654976 814912 1030624 1095038 1251472 1629824 2061248 2190076 2502944 4122496 4380152 5005888 8760304 10011776 17520608 35041216 70082432