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70073088 = 283233967
BaseRepresentation
bin1000010110100…
…11101100000000
311212212002012120
410023103230000
5120414314323
610541524240
71510416501
oct413235400
9155762176
1070073088
1136610a48
121b573680
1311695b87
149440ba8
1562425e3
hex42d3b00

70073088 has 72 divisors (see below), whose sum is σ = 194654208. Its totient is φ = 22336512.

The previous prime is 70073071. The next prime is 70073117. The reversal of 70073088 is 88037007.

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, 15681 + ... + 19647.

Almost surely, 270073088 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 70073088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97327104).

70073088 is an abundant number, since it is smaller than the sum of its proper divisors (124581120).

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

70073088 is a wasteful number, since it uses less digits than its factorization.

70073088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4009 (or 3995 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 70073088 is about 8370.9669692336. The cubic root of 70073088 is about 412.2719165170.

The spelling of 70073088 in words is "seventy million, seventy-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 552 736 768 1104 1472 2208 2944 3967 4416 5888 7934 8832 11901 15868 17664 23802 31736 47604 63472 91241 95208 126944 182482 190416 253888 273723 364964 380832 507776 547446 729928 761664 1015552 1094892 1459856 1523328 2189784 2919712 3046656 4379568 5839424 8759136 11678848 17518272 23357696 35036544 70073088