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61248720 = 24351367293
BaseRepresentation
bin1110100110100…
…1010011010000
311021020202110010
43221221103100
5111134424340
610024434520
71342414461
oct351512320
9137222403
1061248720
1131634085
1218618a40
13c8c6460
1481c4d68
15559cb80
hex3a694d0

61248720 has 160 divisors (see below), whose sum is σ = 208236672. Its totient is φ = 14800896.

The previous prime is 61248709. The next prime is 61248721. The reversal of 61248720 is 2784216.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61248721) 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, 208894 + ... + 209186.

Almost surely, 261248720 is an apocalyptic number.

61248720 is a gapful number since it is divisible by the number (60) 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 61248720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104118336).

61248720 is an abundant number, since it is smaller than the sum of its proper divisors (146987952).

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

61248720 is a wasteful number, since it uses less digits than its factorization.

61248720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 61248720 is about 7826.1561446217. The cubic root of 61248720 is about 394.1840122365.

The spelling of 61248720 in words is "sixty-one million, two hundred forty-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 67 78 80 104 120 130 134 156 195 201 208 240 260 268 293 312 335 390 402 520 536 586 624 670 780 804 871 879 1005 1040 1072 1172 1340 1465 1560 1608 1742 1758 2010 2344 2613 2680 2930 3120 3216 3484 3516 3809 4020 4355 4395 4688 5226 5360 5860 6968 7032 7618 8040 8710 8790 10452 11427 11720 13065 13936 14064 15236 16080 17420 17580 19045 19631 20904 22854 23440 26130 30472 34840 35160 38090 39262 41808 45708 52260 57135 58893 60944 69680 70320 76180 78524 91416 98155 104520 114270 117786 152360 157048 182832 196310 209040 228540 235572 255203 294465 304720 314096 392620 457080 471144 510406 588930 765609 785240 914160 942288 1020812 1177860 1276015 1531218 1570480 2041624 2355720 2552030 3062436 3828045 4083248 4711440 5104060 6124872 7656090 10208120 12249744 15312180 20416240 30624360 61248720