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61997520 = 24351331641
BaseRepresentation
bin1110110010000…
…0000111010000
311022122210121110
43230200013100
5111332410040
610052453320
71351653534
oct354400720
9138583543
1061997520
1131aa5722
121891a240
13cac9230
14833bbc4
155699980
hex3b201d0

61997520 has 160 divisors (see below), whose sum is σ = 213986304. Its totient is φ = 14745600.

The previous prime is 61997503. The next prime is 61997531. The reversal of 61997520 is 2579916.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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, 96400 + ... + 97040.

Almost surely, 261997520 is an apocalyptic number.

61997520 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 61997520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106993152).

61997520 is an abundant number, since it is smaller than the sum of its proper divisors (151988784).

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

61997520 is a wasteful number, since it uses less digits than its factorization.

61997520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 39.

The square root of 61997520 is about 7873.8503922795. The cubic root of 61997520 is about 395.7838837089.

The spelling of 61997520 in words is "sixty-one million, nine hundred ninety-seven thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 31 39 40 48 52 60 62 65 78 80 93 104 120 124 130 155 156 186 195 208 240 248 260 310 312 372 390 403 465 496 520 620 624 641 744 780 806 930 1040 1209 1240 1282 1488 1560 1612 1860 1923 2015 2418 2480 2564 3120 3205 3224 3720 3846 4030 4836 5128 6045 6410 6448 7440 7692 8060 8333 9615 9672 10256 12090 12820 15384 16120 16666 19230 19344 19871 24180 24999 25640 30768 32240 33332 38460 39742 41665 48360 49998 51280 59613 66664 76920 79484 83330 96720 99355 99996 119226 124995 133328 153840 158968 166660 198710 199992 238452 249990 258323 298065 317936 333320 397420 399984 476904 499980 516646 596130 666640 774969 794840 953808 999960 1033292 1192260 1291615 1549938 1589680 1999920 2066584 2384520 2583230 3099876 3874845 4133168 4769040 5166460 6199752 7749690 10332920 12399504 15499380 20665840 30998760 61997520