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70580416 = 2661101179
BaseRepresentation
bin1000011010011…
…11100011000000
311220210212010111
410031033203000
5121032033131
611000441104
71514631544
oct415174300
9156725114
1070580416
1136928125
121b779194
1311812a7a
149533a24
1562e2ab1
hex434f8c0

70580416 has 56 divisors (see below), whose sum is σ = 144566640. Its totient is φ = 34176000.

The previous prime is 70580387. The next prime is 70580453. The reversal of 70580416 is 61408507.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 394215 + ... + 394393.

Almost surely, 270580416 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 70580416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72283320).

70580416 is an abundant number, since it is smaller than the sum of its proper divisors (73986224).

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

70580416 is a wasteful number, since it uses less digits than its factorization.

70580416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 70580416 is about 8401.2151502030. The cubic root of 70580416 is about 413.2644722838.

The spelling of 70580416 in words is "seventy million, five hundred eighty thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 61 64 101 122 179 202 244 358 404 488 716 808 976 1432 1616 1952 2864 3232 3904 5728 6161 6464 10919 11456 12322 18079 21838 24644 36158 43676 49288 72316 87352 98576 144632 174704 197152 289264 349408 394304 578528 698816 1102819 1157056 2205638 4411276 8822552 17645104 35290208 70580416