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61121024 = 291961103
BaseRepresentation
bin1110100100101…
…0001000000000
311021000021021122
43221022020000
5111121333044
610022011412
71341343256
oct351121000
9137007248
1061121024
1131557148
1218576b68
13c8802b3
1481905d6
155574dee
hex3a4a200

61121024 has 80 divisors (see below), whose sum is σ = 131926080. Its totient is φ = 28200960.

The previous prime is 61120993. The next prime is 61121029. The reversal of 61121024 is 42012116.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 61121024 = 963 + 3923 = 2523 + 3563.

It is a junction number, because it is equal to n+sod(n) for n = 61120993 and 61121011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61121029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 593357 + ... + 593459.

It is an arithmetic number, because the mean of its divisors is an integer number (1649076).

Almost surely, 261121024 is an apocalyptic number.

61121024 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 61121024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65963040).

61121024 is an abundant number, since it is smaller than the sum of its proper divisors (70805056).

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

61121024 is a wasteful number, since it uses less digits than its factorization.

61121024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 61121024 is about 7817.9936044998. The cubic root of 61121024 is about 393.9098800128.

The spelling of 61121024 in words is "sixty-one million, one hundred twenty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 19 32 38 61 64 76 103 122 128 152 206 244 256 304 412 488 512 608 824 976 1159 1216 1648 1952 1957 2318 2432 3296 3904 3914 4636 4864 6283 6592 7808 7828 9272 9728 12566 13184 15616 15656 18544 25132 26368 31232 31312 37088 50264 52736 62624 74176 100528 119377 125248 148352 201056 238754 250496 296704 402112 477508 500992 593408 804224 955016 1001984 1608448 1910032 3216896 3820064 7640128 15280256 30560512 61121024