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196306632 = 233319311543
BaseRepresentation
bin10111011001101…
…10011011001000
3111200101102002000
423230312123020
5400223303012
631251311000
74602402354
oct1354663310
9450342060
10196306632
11a08a0095
12558ab460
1331893192
141c100464
1512379ddc
hexbb366c8

196306632 has 128 divisors (see below), whose sum is σ = 592896000. Its totient is φ = 59952960.

The previous prime is 196306631. The next prime is 196306637. The reversal of 196306632 is 236603691.

196306632 is a `hidden beast` number, since 19 + 6 + 3 + 0 + 6 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (196306631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126453 + ... + 127995.

It is an arithmetic number, because the mean of its divisors is an integer number (4632000).

Almost surely, 2196306632 is an apocalyptic number.

196306632 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 196306632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296448000).

196306632 is an abundant number, since it is smaller than the sum of its proper divisors (396589368).

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

196306632 is a wasteful number, since it uses less digits than its factorization.

196306632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608 (or 1598 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 196306632 is about 14010.9468630782. The cubic root of 196306632 is about 581.1813338239.

It can be divided in two parts, 19630 and 6632, that added together give a palindrome (26262).

The spelling of 196306632 in words is "one hundred ninety-six million, three hundred six thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 31 36 38 54 57 62 72 76 93 108 114 124 152 171 186 216 228 248 279 342 372 456 513 558 589 684 744 837 1026 1116 1178 1368 1543 1674 1767 2052 2232 2356 3086 3348 3534 4104 4629 4712 5301 6172 6696 7068 9258 10602 12344 13887 14136 15903 18516 21204 27774 29317 31806 37032 41661 42408 47833 55548 58634 63612 83322 87951 95666 111096 117268 127224 143499 166644 175902 191332 234536 263853 286998 333288 351804 382664 430497 527706 573996 703608 791559 860994 908827 1055412 1147992 1291491 1583118 1721988 1817654 2110824 2582982 2726481 3166236 3443976 3635308 5165964 5452962 6332472 7270616 8179443 10331928 10905924 16358886 21811848 24538329 32717772 49076658 65435544 98153316 196306632