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61402640 = 245131723151
BaseRepresentation
bin1110101000111…
…0111000010000
311021112120120212
43222032320100
5111204341030
610032023252
71343625305
oct352167020
9137476525
1061402640
1131729792
1218691b28
13c94b530
1482250ac
1555cd595
hex3a8ee10

61402640 has 160 divisors (see below), whose sum is σ = 170989056. Its totient is φ = 20275200.

The previous prime is 61402637. The next prime is 61402651. The reversal of 61402640 is 4620416.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (23).

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, 406565 + ... + 406715.

Almost surely, 261402640 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 61402640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85494528).

61402640 is an abundant number, since it is smaller than the sum of its proper divisors (109586416).

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

61402640 is a wasteful number, since it uses less digits than its factorization.

61402640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 61402640 is about 7835.9836651182. The cubic root of 61402640 is about 394.5139350484.

The spelling of 61402640 in words is "sixty-one million, four hundred two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 17 20 23 26 34 40 46 52 65 68 80 85 92 104 115 130 136 151 170 184 208 221 230 260 272 299 302 340 368 391 442 460 520 598 604 680 755 782 884 920 1040 1105 1196 1208 1360 1495 1510 1564 1768 1840 1955 1963 2210 2392 2416 2567 2990 3020 3128 3473 3536 3910 3926 4420 4784 5083 5134 5980 6040 6256 6946 7820 7852 8840 9815 10166 10268 11960 12080 12835 13892 15640 15704 17365 17680 19630 20332 20536 23920 25415 25670 27784 31280 31408 33371 34730 39260 40664 41072 45149 50830 51340 55568 59041 66742 69460 78520 81328 90298 101660 102680 118082 133484 138920 157040 166855 180596 203320 205360 225745 236164 266968 277840 295205 333710 361192 406640 451490 472328 533936 590410 667420 722384 767533 902980 944656 1180820 1334840 1535066 1805960 2361640 2669680 3070132 3611920 3837665 4723280 6140264 7675330 12280528 15350660 30701320 61402640