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61546420 = 225132131139
BaseRepresentation
bin1110101011000…
…1111110110100
311021210212211001
43222301332310
5111223441140
610035053044
71345064425
oct352617664
9137725731
1061546420
1131817811
1218741184
13c99bb00
14826164c
15560ae9a
hex3ab1fb4

61546420 has 72 divisors (see below), whose sum is σ = 142037280. Its totient is φ = 22389120.

The previous prime is 61546399. The next prime is 61546423. The reversal of 61546420 is 2464516.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61546423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 442711 + ... + 442849.

It is an arithmetic number, because the mean of its divisors is an integer number (1972740).

Almost surely, 261546420 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 61546420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71018640).

61546420 is an abundant number, since it is smaller than the sum of its proper divisors (80490860).

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

61546420 is a wasteful number, since it uses less digits than its factorization.

61546420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 61546420 is about 7845.1526435118. The cubic root of 61546420 is about 394.8216253847.

The spelling of 61546420 in words is "sixty-one million, five hundred forty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 131 139 169 260 262 278 338 524 556 655 676 695 845 1310 1390 1690 1703 1807 2620 2780 3380 3406 3614 6812 7228 8515 9035 17030 18070 18209 22139 23491 34060 36140 36418 44278 46982 72836 88556 91045 93964 110695 117455 182090 221390 234910 236717 364180 442780 469820 473434 946868 1183585 2367170 3077321 4734340 6154642 12309284 15386605 30773210 61546420