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61480704 = 283172277
BaseRepresentation
bin1110101010000…
…1111100000000
311021200112200010
43222201330000
5111214340304
610033424520
71344402015
oct352417400
9137615603
1061480704
11317823aa
121870b140
13c977c1c
14824570c
1555e6789
hex3aa1f00

61480704 has 108 divisors (see below), whose sum is σ = 174447224. Its totient is φ = 19218432.

The previous prime is 61480703. The next prime is 61480709. The reversal of 61480704 is 40708416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61480703) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 221814 + ... + 222090.

Almost surely, 261480704 is an apocalyptic number.

61480704 is a gapful number since it is divisible by the number (64) 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 61480704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87223612).

61480704 is an abundant number, since it is smaller than the sum of its proper divisors (112966520).

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

61480704 is a wasteful number, since it uses less digits than its factorization.

61480704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 299 counting only the distinct ones).

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

The square root of 61480704 is about 7840.9632061374. The cubic root of 61480704 is about 394.6810521499.

It can be divided in two parts, 614 and 80704, that added together give a palindrome (81318).

The spelling of 61480704 in words is "sixty-one million, four hundred eighty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 277 289 384 408 544 554 578 768 816 831 867 1088 1108 1156 1632 1662 1734 2176 2216 2312 3264 3324 3468 4352 4432 4624 4709 6528 6648 6936 8864 9248 9418 13056 13296 13872 14127 17728 18496 18836 26592 27744 28254 35456 36992 37672 53184 55488 56508 70912 73984 75344 80053 106368 110976 113016 150688 160106 212736 221952 226032 240159 301376 320212 452064 480318 602752 640424 904128 960636 1205504 1280848 1808256 1921272 2561696 3616512 3842544 5123392 7685088 10246784 15370176 20493568 30740352 61480704