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70206976 = 297191031
BaseRepresentation
bin1000010111101…
…00011000000000
311220002212212101
410023310120000
5120433110401
610544440144
71511515030
oct413643000
9156085771
1070206976
11366a25a4
121b619054
1311711ab8
1494778c0
15626c101
hex42f4600

70206976 has 80 divisors (see below), whose sum is σ = 168917760. Its totient is φ = 28477440.

The previous prime is 70206949. The next prime is 70206979. The reversal of 70206976 is 67960207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70206979) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67581 + ... + 68611.

It is an arithmetic number, because the mean of its divisors is an integer number (2111472).

Almost surely, 270206976 is an apocalyptic number.

70206976 is a gapful number since it is divisible by the number (76) 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 70206976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84458880).

70206976 is an abundant number, since it is smaller than the sum of its proper divisors (98710784).

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

70206976 is a wasteful number, since it uses less digits than its factorization.

70206976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 37.

The square root of 70206976 is about 8378.9603173663. The cubic root of 70206976 is about 412.5343241717.

It can be divided in two parts, 70 and 206976, that added together give a triangular number (207046 = T643).

The spelling of 70206976 in words is "seventy million, two hundred six thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 256 266 304 448 512 532 608 896 1031 1064 1216 1792 2062 2128 2432 3584 4124 4256 4864 7217 8248 8512 9728 14434 16496 17024 19589 28868 32992 34048 39178 57736 65984 68096 78356 115472 131968 137123 156712 230944 263936 274246 313424 461888 527872 548492 626848 923776 1096984 1253696 1847552 2193968 2507392 3695104 4387936 5014784 8775872 10029568 17551744 35103488 70206976