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61483920 = 24352411063
BaseRepresentation
bin1110101010001…
…0101110010000
311021200201002020
43222202232100
5111214441140
610033451440
71344414261
oct352425620
9137621066
1061483920
1131784863
1218710b80
13c979524
148246968
1555e76d0
hex3aa2b90

61483920 has 80 divisors (see below), whose sum is σ = 191571072. Its totient is φ = 16312320.

The previous prime is 61483907. The next prime is 61483927. The reversal of 61483920 is 2938416.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (61483927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57309 + ... + 58371.

Almost surely, 261483920 is an apocalyptic number.

61483920 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 61483920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95785536).

61483920 is an abundant number, since it is smaller than the sum of its proper divisors (130087152).

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

61483920 is a wasteful number, since it uses less digits than its factorization.

61483920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 61483920 is about 7841.1682803011. The cubic root of 61483920 is about 394.6879338329.

The spelling of 61483920 in words is "sixty-one million, four hundred eighty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 241 482 723 964 1063 1205 1446 1928 2126 2410 2892 3189 3615 3856 4252 4820 5315 5784 6378 7230 8504 9640 10630 11568 12756 14460 15945 17008 19280 21260 25512 28920 31890 42520 51024 57840 63780 85040 127560 255120 256183 512366 768549 1024732 1280915 1537098 2049464 2561830 3074196 3842745 4098928 5123660 6148392 7685490 10247320 12296784 15370980 20494640 30741960 61483920