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198070656 = 2737312377
BaseRepresentation
bin10111100111001…
…01000110000000
3111210201000212020
423303211012000
5401201230111
631353201440
74623400320
oct1363450600
9453630766
10198070656
11a1895463
1256400280
1332060094
141c43d280
15125c7906
hexbce5180

198070656 has 128 divisors (see below), whose sum is σ = 620943360. Its totient is φ = 54743040.

The previous prime is 198070603. The next prime is 198070669. The reversal of 198070656 is 656070891.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82140 + ... + 84516.

It is an arithmetic number, because the mean of its divisors is an integer number (4851120).

Almost surely, 2198070656 is an apocalyptic number.

198070656 is a gapful number since it is divisible by the number (16) 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 198070656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310471680).

198070656 is an abundant number, since it is smaller than the sum of its proper divisors (422872704).

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

198070656 is a wasteful number, since it uses less digits than its factorization.

198070656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2432 (or 2420 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 198070656 is about 14073.7577071655. The cubic root of 198070656 is about 582.9169895159.

The spelling of 198070656 in words is "one hundred ninety-eight million, seventy thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 128 168 186 192 217 224 248 336 372 384 434 448 496 651 672 744 868 896 992 1302 1344 1488 1736 1984 2377 2604 2688 2976 3472 3968 4754 5208 5952 6944 7131 9508 10416 11904 13888 14262 16639 19016 20832 27776 28524 33278 38032 41664 49917 57048 66556 73687 76064 83328 99834 114096 133112 147374 152128 199668 221061 228192 266224 294748 304256 399336 442122 456384 515809 532448 589496 798672 884244 912768 1031618 1064896 1178992 1547427 1597344 1768488 2063236 2129792 2357984 3094854 3194688 3536976 4126472 4715968 6189708 6389376 7073952 8252944 9431936 12379416 14147904 16505888 24758832 28295808 33011776 49517664 66023552 99035328 198070656