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70164480 = 21335571
BaseRepresentation
bin1000010111010…
…10000000000000
311220000201120110
410023222000000
5120430230410
610543511320
71511250111
oct413520000
9156021513
1070164480
1136673681
121b5b8540
13116c8659
149466208
15625e720
hex42ea000

70164480 has 112 divisors (see below), whose sum is σ = 224905824. Its totient is φ = 18677760.

The previous prime is 70164449. The next prime is 70164481. The reversal of 70164480 is 8446107.

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

It is not an unprimeable number, because it can be changed into a prime (70164481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122595 + ... + 123165.

Almost surely, 270164480 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 70164480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112452912).

70164480 is an abundant number, since it is smaller than the sum of its proper divisors (154741344).

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

70164480 is an equidigital number, since it uses as much as digits as its factorization.

70164480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 70164480 is about 8376.4240580334. The cubic root of 70164480 is about 412.4510722500.

The spelling of 70164480 in words is "seventy million, one hundred sixty-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 571 640 768 960 1024 1142 1280 1536 1713 1920 2048 2284 2560 2855 3072 3426 3840 4096 4568 5120 5710 6144 6852 7680 8192 8565 9136 10240 11420 12288 13704 15360 17130 18272 20480 22840 24576 27408 30720 34260 36544 40960 45680 54816 61440 68520 73088 91360 109632 122880 137040 146176 182720 219264 274080 292352 365440 438528 548160 584704 730880 877056 1096320 1169408 1461760 1754112 2192640 2338816 2923520 3508224 4385280 4677632 5847040 7016448 8770560 11694080 14032896 17541120 23388160 35082240 70164480