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61406436 = 223713531061
BaseRepresentation
bin1110101000111…
…1110011100100
311021112202210110
43222033303210
5111210001221
610032053020
71343642340
oct352176344
9137482713
1061406436
1131731623
1218694170
13c950190
148226620
1555ce776
hex3a8fce4

61406436 has 96 divisors (see below), whose sum is σ = 179843328. Its totient is φ = 15874560.

The previous prime is 61406419. The next prime is 61406453. The reversal of 61406436 is 63460416.

It is an interprime number because it is at equal distance from previous prime (61406419) and next prime (61406453).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57346 + ... + 58406.

It is an arithmetic number, because the mean of its divisors is an integer number (1873368).

Almost surely, 261406436 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 61406436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89921664).

61406436 is an abundant number, since it is smaller than the sum of its proper divisors (118436892).

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

61406436 is a wasteful number, since it uses less digits than its factorization.

61406436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 61406436 is about 7836.2258772958. The cubic root of 61406436 is about 394.5220646882.

The spelling of 61406436 in words is "sixty-one million, four hundred six thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 53 78 84 91 106 156 159 182 212 273 318 364 371 546 636 689 742 1061 1092 1113 1378 1484 2067 2122 2226 2756 3183 4134 4244 4452 4823 6366 7427 8268 9646 12732 13793 14469 14854 19292 22281 27586 28938 29708 41379 44562 55172 56233 57876 82758 89124 96551 112466 165516 168699 193102 224932 289653 337398 386204 393631 579306 674796 731029 787262 1158612 1180893 1462058 1574524 2193087 2361786 2924116 4386174 4723572 5117203 8772348 10234406 15351609 20468812 30703218 61406436