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61303104 = 2632711499
BaseRepresentation
bin1110100111011…
…0100101000000
311021100112001100
43221312211000
5111143144404
610025534400
71343032152
oct351664500
9137315040
1061303104
1131670a25
1218644400
13c915135
1481daad2
1555add39
hex3a76940

61303104 has 84 divisors (see below), whose sum is σ = 178308000. Its totient is φ = 20133120.

The previous prime is 61303103. The next prime is 61303133. The reversal of 61303104 is 40130316.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61303103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40147 + ... + 41645.

Almost surely, 261303104 is an apocalyptic number.

61303104 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 61303104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89154000).

61303104 is an abundant number, since it is smaller than the sum of its proper divisors (117004896).

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

61303104 is a wasteful number, since it uses less digits than its factorization.

61303104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1588 (or 1575 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 61303104 is about 7829.6298763096. The cubic root of 61303104 is about 394.3006457573.

The spelling of 61303104 in words is "sixty-one million, three hundred three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 71 72 96 142 144 192 213 284 288 426 568 576 639 852 1136 1278 1499 1704 2272 2556 2998 3408 4497 4544 5112 5996 6816 8994 10224 11992 13491 13632 17988 20448 23984 26982 35976 40896 47968 53964 71952 95936 106429 107928 143904 212858 215856 287808 319287 425716 431712 638574 851432 863424 957861 1277148 1702864 1915722 2554296 3405728 3831444 5108592 6811456 7662888 10217184 15325776 20434368 30651552 61303104