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196675128 = 23341337631
BaseRepresentation
bin10111011100100…
…00011000111000
3111201002010120000
423232100120320
5400322101003
631303233000
74605465606
oct1356203070
9451063500
10196675128
11a1021a31
1255a48760
1331991b20
141c198876
15123ee1a3
hexbb90638

196675128 has 160 divisors (see below), whose sum is σ = 610246560. Its totient is φ = 58786560.

The previous prime is 196675117. The next prime is 196675133. The reversal of 196675128 is 821576691.

It is a super-2 number, since 2×1966751282 = 77362211947632768, which contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 311373 + ... + 312003.

It is an arithmetic number, because the mean of its divisors is an integer number (3814041).

Almost surely, 2196675128 is an apocalyptic number.

196675128 is a gapful number since it is divisible by the number (18) 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 196675128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305123280).

196675128 is an abundant number, since it is smaller than the sum of its proper divisors (413571432).

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

196675128 is a wasteful number, since it uses less digits than its factorization.

196675128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 686 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 196675128 is about 14024.0909865845. The cubic root of 196675128 is about 581.5447603830.

The spelling of 196675128 in words is "one hundred ninety-six million, six hundred seventy-five thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 37 39 52 54 72 74 78 81 104 108 111 117 148 156 162 216 222 234 296 312 324 333 351 444 468 481 631 648 666 702 888 936 962 999 1053 1262 1332 1404 1443 1893 1924 1998 2106 2524 2664 2808 2886 2997 3786 3848 3996 4212 4329 5048 5679 5772 5994 7572 7992 8203 8424 8658 11358 11544 11988 12987 15144 16406 17037 17316 22716 23347 23976 24609 25974 32812 34074 34632 38961 45432 46694 49218 51111 51948 65624 68148 70041 73827 77922 93388 98436 102222 103896 136296 140082 147654 155844 186776 196872 204444 210123 221481 280164 295308 303511 311688 408888 420246 442962 560328 590616 607022 630369 664443 840492 885924 910533 1214044 1260738 1328886 1680984 1771848 1821066 1891107 2428088 2521476 2657772 2731599 3642132 3782214 5042952 5315544 5463198 7284264 7564428 8194797 10926396 15128856 16389594 21852792 24584391 32779188 49168782 65558376 98337564 196675128