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70679616 = 2637431223
BaseRepresentation
bin1000011011001…
…11110001000000
311220222220012120
410031213301000
5121043221431
611002524240
71515524010
oct415476100
9156886176
1070679616
1136995707
121b806680
1311848c77
14955bc40
156312196
hex4367c40

70679616 has 112 divisors (see below), whose sum is σ = 218870784. Its totient is φ = 19708416.

The previous prime is 70679603. The next prime is 70679629. The reversal of 70679616 is 61697607.

It is an interprime number because it is at equal distance from previous prime (70679603) and next prime (70679629).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 15 ways as a sum of consecutive naturals, for example, 57181 + ... + 58403.

Almost surely, 270679616 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 70679616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109435392).

70679616 is an abundant number, since it is smaller than the sum of its proper divisors (148191168).

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

70679616 is a wasteful number, since it uses less digits than its factorization.

70679616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 42.

The square root of 70679616 is about 8407.1169850312. The cubic root of 70679616 is about 413.4579945409.

Subtracting from 70679616 its reverse (61697607), we obtain a square (8982009 = 29972).

The spelling of 70679616 in words is "seventy million, six hundred seventy-nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 43 48 56 64 84 86 96 112 129 168 172 192 224 258 301 336 344 448 516 602 672 688 903 1032 1204 1223 1344 1376 1806 2064 2408 2446 2752 3612 3669 4128 4816 4892 7224 7338 8256 8561 9632 9784 14448 14676 17122 19264 19568 25683 28896 29352 34244 39136 51366 52589 57792 58704 68488 78272 102732 105178 117408 136976 157767 205464 210356 234816 273952 315534 368123 410928 420712 547904 631068 736246 821856 841424 1104369 1262136 1472492 1643712 1682848 2208738 2524272 2944984 3365696 4417476 5048544 5889968 8834952 10097088 11779936 17669904 23559872 35339808 70679616