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61602156 = 223271171313
BaseRepresentation
bin1110101011111…
…1100101101100
311021220201021100
43222333211230
5111232232111
610040203100
71345416060
oct352774554
9137821240
1061602156
1131855680
1218769490
13c9bb2a5
148277aa0
15561c756
hex3abf96c

61602156 has 144 divisors (see below), whose sum is σ = 197503488. Its totient is φ = 15724800.

The previous prime is 61602143. The next prime is 61602157. The reversal of 61602156 is 65120616.

It is a happy number.

61602156 is a `hidden beast` number, since 6 + 1 + 602 + 1 + 56 = 666.

61602156 is nontrivially palindromic in base 5.

It is not an unprimeable number, because it can be changed into a prime (61602157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 196656 + ... + 196968.

It is an arithmetic number, because the mean of its divisors is an integer number (1371552).

Almost surely, 261602156 is an apocalyptic number.

61602156 is a gapful number since it is divisible by the number (66) 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 61602156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98751744).

61602156 is an abundant number, since it is smaller than the sum of its proper divisors (135901332).

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

61602156 is a wasteful number, since it uses less digits than its factorization.

61602156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 61602156 is about 7848.7040968557. The cubic root of 61602156 is about 394.9407719773.

The spelling of 61602156 in words is "sixty-one million, six hundred two thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 71 77 84 99 126 132 142 154 198 213 231 252 284 308 313 396 426 462 497 626 639 693 781 852 924 939 994 1252 1278 1386 1491 1562 1878 1988 2191 2343 2556 2772 2817 2982 3124 3443 3756 4382 4473 4686 5467 5634 5964 6573 6886 7029 8764 8946 9372 10329 10934 11268 13146 13772 14058 16401 17892 19719 20658 21868 22223 24101 26292 28116 30987 32802 39438 41316 44446 48202 49203 61974 65604 66669 72303 78876 88892 96404 98406 123948 133338 144606 155561 196812 200007 216909 244453 266676 289212 311122 400014 433818 466683 488906 622244 733359 800028 867636 933366 977812 1400049 1466718 1711171 1866732 2200077 2800098 2933436 3422342 4400154 5133513 5600196 6844684 8800308 10267026 15400539 20534052 30801078 61602156