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70813920 = 2535314759
BaseRepresentation
bin1000011100010…
…00100011100000
311221020201102210
410032020203200
5121112021140
611005442120
71516623402
oct416104340
9157221383
1070813920
1136a77601
121b870340
1311895138
149594b72
15633bd80
hex43888e0

70813920 has 96 divisors (see below), whose sum is σ = 230307840. Its totient is φ = 18270720.

The previous prime is 70813903. The next prime is 70813943. The reversal of 70813920 is 2931807.

It is a happy number.

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

It is a super-2 number, since 2×708139202 = 10029222531532800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 12501 + ... + 17259.

It is an arithmetic number, because the mean of its divisors is an integer number (2399040).

Almost surely, 270813920 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 70813920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115153920).

70813920 is an abundant number, since it is smaller than the sum of its proper divisors (159493920).

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

70813920 is a wasteful number, since it uses less digits than its factorization.

70813920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4808 (or 4800 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 70813920 is about 8415.1007124098. The cubic root of 70813920 is about 413.7197103933.

The spelling of 70813920 in words is "seventy million, eight hundred thirteen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 80 93 96 120 124 155 160 186 240 248 310 372 465 480 496 620 744 930 992 1240 1488 1860 2480 2976 3720 4759 4960 7440 9518 14277 14880 19036 23795 28554 38072 47590 57108 71385 76144 95180 114216 142770 147529 152288 190360 228432 285540 295058 380720 442587 456864 571080 590116 737645 761440 885174 1142160 1180232 1475290 1770348 2212935 2284320 2360464 2950580 3540696 4425870 4720928 5901160 7081392 8851740 11802320 14162784 17703480 23604640 35406960 70813920