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70098912 = 253313792
BaseRepresentation
bin1000010110110…
…01111111100000
311212220101122000
410023121333200
5120421131122
610542244000
71510555002
oct413317740
9155811560
1070098912
1136629394
121b586600
13116a4860
14944a372
15624a0ac
hex42d9fe0

70098912 has 144 divisors (see below), whose sum is σ = 223004880. Its totient is φ = 21295872.

The previous prime is 70098911. The next prime is 70098937. The reversal of 70098912 is 21989007.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×700989123 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70098911) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 887289 + ... + 887367.

It is an arithmetic number, because the mean of its divisors is an integer number (1548645).

Almost surely, 270098912 is an apocalyptic number.

70098912 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70098912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111502440).

70098912 is an abundant number, since it is smaller than the sum of its proper divisors (152905968).

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

70098912 is a wasteful number, since it uses less digits than its factorization.

70098912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 70098912 is about 8372.5093012788. The cubic root of 70098912 is about 412.3225550845.

The spelling of 70098912 in words is "seventy million, ninety-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 79 96 104 108 117 144 156 158 208 216 234 237 288 312 316 351 416 432 468 474 624 632 702 711 864 936 948 1027 1248 1264 1404 1422 1872 1896 2054 2133 2528 2808 2844 3081 3744 3792 4108 4266 5616 5688 6162 6241 7584 8216 8532 9243 11232 11376 12324 12482 16432 17064 18486 18723 22752 24648 24964 27729 32864 34128 36972 37446 49296 49928 55458 56169 68256 73944 74892 81133 98592 99856 110916 112338 147888 149784 162266 168507 199712 221832 224676 243399 295776 299568 324532 337014 443664 449352 486798 599136 649064 674028 730197 887328 898704 973596 1298128 1348056 1460394 1797408 1947192 2190591 2596256 2696112 2920788 3894384 4381182 5392224 5841576 7788768 8762364 11683152 17524728 23366304 35049456 70098912