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196860672 = 2833191499
BaseRepresentation
bin10111011101111…
…01101100000000
3111201102120002000
423232331230000
5400344020142
631311224000
74610200551
oct1356755400
9451376060
10196860672
11a1139378
1255b18000
1331a28408
141c206328
151243914c
hexbbbdb00

196860672 has 144 divisors (see below), whose sum is σ = 613200000. Its totient is φ = 62125056.

The previous prime is 196860667. The next prime is 196860701. The reversal of 196860672 is 276068691.

It is a tau number, because it is divible by the number of its divisors (144).

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, 130579 + ... + 132077.

Almost surely, 2196860672 is an apocalyptic number.

196860672 is a gapful number since it is divisible by the number (12) 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 196860672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306600000).

196860672 is an abundant number, since it is smaller than the sum of its proper divisors (416339328).

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

196860672 is a wasteful number, since it uses less digits than its factorization.

196860672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1543 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 196860672 is about 14030.7046152358. The cubic root of 196860672 is about 581.7275800208.

The spelling of 196860672 in words is "one hundred ninety-six million, eight hundred sixty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 128 144 152 171 192 216 228 256 288 304 342 384 432 456 513 576 608 684 768 864 912 1026 1152 1216 1368 1499 1728 1824 2052 2304 2432 2736 2998 3456 3648 4104 4497 4864 5472 5996 6912 7296 8208 8994 10944 11992 13491 14592 16416 17988 21888 23984 26982 28481 32832 35976 40473 43776 47968 53964 56962 65664 71952 80946 85443 95936 107928 113924 131328 143904 161892 170886 191872 215856 227848 256329 287808 323784 341772 383744 431712 455696 512658 575616 647568 683544 768987 863424 911392 1025316 1151232 1295136 1367088 1537974 1726848 1822784 2050632 2590272 2734176 3075948 3453696 3645568 4101264 5180544 5468352 6151896 7291136 8202528 10361088 10936704 12303792 16405056 21873408 24607584 32810112 49215168 65620224 98430336 196860672