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70754944 = 2713101421
BaseRepresentation
bin1000011011110…
…10001010000000
311221010201112111
410031322022000
5121103124234
611004305104
71516256431
oct415721200
9157121474
1070754944
1136a37267
121b842194
1311874340
14957b488
156329664
hex437a280

70754944 has 64 divisors (see below), whose sum is σ = 153667080. Its totient is φ = 32256000.

The previous prime is 70754939. The next prime is 70754963. The reversal of 70754944 is 44945707.

It can be written as a sum of positive squares in 4 ways, for example, as 44622400 + 26132544 = 6680^2 + 5112^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 70754897 and 70754906.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 167854 + ... + 168274.

Almost surely, 270754944 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 70754944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76833540).

70754944 is an abundant number, since it is smaller than the sum of its proper divisors (82912136).

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

70754944 is a wasteful number, since it uses less digits than its factorization.

70754944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The square root of 70754944 is about 8411.5958057910. The cubic root of 70754944 is about 413.6048256816.

The spelling of 70754944 in words is "seventy million, seven hundred fifty-four thousand, nine hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 101 104 128 202 208 404 416 421 808 832 842 1313 1616 1664 1684 2626 3232 3368 5252 5473 6464 6736 10504 10946 12928 13472 21008 21892 26944 42016 42521 43784 53888 84032 85042 87568 168064 170084 175136 340168 350272 552773 680336 700544 1105546 1360672 2211092 2721344 4422184 5442688 8844368 17688736 35377472 70754944