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70507872 = 25321371787
BaseRepresentation
bin1000011001111…
…01110101100000
311220200011121200
410030331311200
5121022222442
610555121200
71514210211
oct414756540
9156604550
1070507872
1136888676
121b743200
13117b8a46
149515408
1562cb34c
hex433dd60

70507872 has 72 divisors (see below), whose sum is σ = 202083336. Its totient is φ = 23318016.

The previous prime is 70507837. The next prime is 70507883. The reversal of 70507872 is 27870507.

70507872 is a `hidden beast` number, since 70 + 507 + 87 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38563 + ... + 40349.

It is an arithmetic number, because the mean of its divisors is an integer number (2806713).

Almost surely, 270507872 is an apocalyptic number.

70507872 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70507872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101041668).

70507872 is an abundant number, since it is smaller than the sum of its proper divisors (131575464).

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

70507872 is a wasteful number, since it uses less digits than its factorization.

70507872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1940 (or 1929 counting only the distinct ones).

The product of its (nonzero) digits is 27440, while the sum is 36.

The square root of 70507872 is about 8396.8965695666. The cubic root of 70507872 is about 413.1228365121.

The spelling of 70507872 in words is "seventy million, five hundred seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 137 144 274 288 411 548 822 1096 1233 1644 1787 2192 2466 3288 3574 4384 4932 5361 6576 7148 9864 10722 13152 14296 16083 19728 21444 28592 32166 39456 42888 57184 64332 85776 128664 171552 244819 257328 489638 514656 734457 979276 1468914 1958552 2203371 2937828 3917104 4406742 5875656 7834208 8813484 11751312 17626968 23502624 35253936 70507872