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61314560 = 29543557
BaseRepresentation
bin1110100111100…
…1011000000000
311021101002202122
43221321120000
5111144031220
610030103412
71343110436
oct351713000
9137332678
1061314560
113167959a
121864ab68
13c91a408
148200d56
1555b2425
hex3a79600

61314560 has 80 divisors (see below), whose sum is σ = 150700176. Its totient is φ = 23912448.

The previous prime is 61314499. The next prime is 61314593. The reversal of 61314560 is 6541316.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109802 + ... + 110358.

Almost surely, 261314560 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 61314560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75350088).

61314560 is an abundant number, since it is smaller than the sum of its proper divisors (89385616).

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

61314560 is an equidigital number, since it uses as much as digits as its factorization.

61314560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 61314560 is about 7830.3614220545. The cubic root of 61314560 is about 394.3252058343.

Adding to 61314560 its reverse (6541316), we get a palindrome (67855876).

The spelling of 61314560 in words is "sixty-one million, three hundred fourteen thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 128 160 172 215 256 320 344 430 512 557 640 688 860 1114 1280 1376 1720 2228 2560 2752 2785 3440 4456 5504 5570 6880 8912 11008 11140 13760 17824 22016 22280 23951 27520 35648 44560 47902 55040 71296 89120 95804 110080 119755 142592 178240 191608 239510 285184 356480 383216 479020 712960 766432 958040 1425920 1532864 1916080 3065728 3832160 6131456 7664320 12262912 15328640 30657280 61314560