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70101024 = 2537731429
BaseRepresentation
bin1000010110110…
…10100000100000
311212220111112020
410023122200200
5120421213044
610542301440
71510564110
oct413324040
9155814466
1070101024
113662aa34
121b587880
13116a57c6
14944b040
15624aa19
hex42da820

70101024 has 96 divisors (see below), whose sum is σ = 213333120. Its totient is φ = 19740672.

The previous prime is 70101001. The next prime is 70101041. The reversal of 70101024 is 42010107.

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

It is a junction number, because it is equal to n+sod(n) for n = 70100994 and 70101012.

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, 48342 + ... + 49770.

It is an arithmetic number, because the mean of its divisors is an integer number (2222220).

Almost surely, 270101024 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 70101024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106666560).

70101024 is an abundant number, since it is smaller than the sum of its proper divisors (143232096).

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

70101024 is a wasteful number, since it uses less digits than its factorization.

70101024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1514 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 70101024 is about 8372.6354273908. The cubic root of 70101024 is about 412.3266959785.

The spelling of 70101024 in words is "seventy million, one hundred one thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 73 84 96 112 146 168 219 224 292 336 438 511 584 672 876 1022 1168 1429 1533 1752 2044 2336 2858 3066 3504 4088 4287 5716 6132 7008 8176 8574 10003 11432 12264 16352 17148 20006 22864 24528 30009 34296 40012 45728 49056 60018 68592 80024 104317 120036 137184 160048 208634 240072 312951 320096 417268 480144 625902 730219 834536 960288 1251804 1460438 1669072 2190657 2503608 2920876 3338144 4381314 5007216 5841752 8762628 10014432 11683504 17525256 23367008 35050512 70101024