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61329996 = 223271397193
BaseRepresentation
bin1110100111110…
…1001001001100
311021101212221100
43221331021030
5111200024441
610030303100
71343203440
oct351751114
9137355840
1061329996
113168a152
1218657a90
13c924450
148206820
1555b6cb6
hex3a7d24c

61329996 has 144 divisors (see below), whose sum is σ = 193770304. Its totient is φ = 15925248.

The previous prime is 61329977. The next prime is 61330019. The reversal of 61329996 is 69992316.

It is a happy number.

61329996 is a `hidden beast` number, since 613 + 29 + 9 + 9 + 6 = 666.

It is a super-2 number, since 2×613299962 = 7522736818720032, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 317676 + ... + 317868.

Almost surely, 261329996 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61329996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96885152).

61329996 is an abundant number, since it is smaller than the sum of its proper divisors (132440308).

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

61329996 is a wasteful number, since it uses less digits than its factorization.

61329996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 315 counting only the distinct ones).

The product of its digits is 157464, while the sum is 45.

The square root of 61329996 is about 7831.3470105723. The cubic root of 61329996 is about 394.3582936422.

The spelling of 61329996 in words is "sixty-one million, three hundred twenty-nine thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 97 117 126 156 182 193 194 234 252 273 291 364 386 388 468 546 579 582 679 772 819 873 1092 1158 1164 1261 1351 1358 1638 1737 1746 2037 2316 2509 2522 2702 2716 3276 3474 3492 3783 4053 4074 5018 5044 5404 6111 6948 7527 7566 8106 8148 8827 10036 11349 12159 12222 15054 15132 16212 17563 17654 18721 22581 22698 24318 24444 26481 30108 35126 35308 37442 45162 45396 48636 52689 52962 56163 70252 74884 79443 90324 105378 105924 112326 131047 158067 158886 168489 210756 224652 243373 262094 316134 317772 336978 393141 486746 524188 632268 673956 730119 786282 973492 1179423 1460238 1572564 1703611 2190357 2358846 2920476 3407222 4380714 4717692 5110833 6814444 8761428 10221666 15332499 20443332 30664998 61329996