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70072776 = 2334176361
BaseRepresentation
bin1000010110100…
…11100111001000
311212212001210000
410023103213020
5120414312101
610541523000
71510415544
oct413234710
9155761700
1070072776
1136610794
121b573460
13116959a7
149440a24
156242486
hex42d39c8

70072776 has 80 divisors (see below), whose sum is σ = 207846540. Its totient is φ = 21980160.

The previous prime is 70072771. The next prime is 70072799. The reversal of 70072776 is 67727007.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 70056900 + 15876 = 8370^2 + 126^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 70072776.

It is not an unprimeable number, because it can be changed into a prime (70072771) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7836 + ... + 14196.

Almost surely, 270072776 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 70072776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103923270).

70072776 is an abundant number, since it is smaller than the sum of its proper divisors (137773764).

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

70072776 is a wasteful number, since it uses less digits than its factorization.

70072776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6396 (or 6383 counting only the distinct ones).

The product of its (nonzero) digits is 28812, while the sum is 36.

The square root of 70072776 is about 8370.9483333730. The cubic root of 70072776 is about 412.2713046367.

The spelling of 70072776 in words is "seventy million, seventy-two thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 306 324 408 459 612 648 918 1224 1377 1836 2754 3672 5508 6361 11016 12722 19083 25444 38166 50888 57249 76332 108137 114498 152664 171747 216274 228996 324411 343494 432548 457992 515241 648822 686988 865096 973233 1030482 1297644 1373976 1946466 2060964 2595288 2919699 3892932 4121928 5839398 7785864 8759097 11678796 17518194 23357592 35036388 70072776