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61132020 = 22351676101
BaseRepresentation
bin1110100100110…
…0110011110100
311021000211100220
43221030303310
5111122211040
610022134340
71341420315
oct351146364
9137024326
1061132020
1131564434
12185813b0
13c8852c1
14819460c
1555782d0
hex3a4ccf4

61132020 has 48 divisors (see below), whose sum is σ = 172222848. Its totient is φ = 16201600.

The previous prime is 61131979. The next prime is 61132021. The reversal of 61132020 is 2023116.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61132021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6970 + ... + 13070.

It is an arithmetic number, because the mean of its divisors is an integer number (3587976).

Almost surely, 261132020 is an apocalyptic number.

61132020 is a gapful number since it is divisible by the number (60) 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 61132020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86111424).

61132020 is an abundant number, since it is smaller than the sum of its proper divisors (111090828).

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

61132020 is a wasteful number, since it uses less digits than its factorization.

61132020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6280 (or 6278 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 61132020 is about 7818.6968223611. The cubic root of 61132020 is about 393.9335007630.

Adding to 61132020 its reverse (2023116), we get a palindrome (63155136).

The spelling of 61132020 in words is "sixty-one million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 167 334 501 668 835 1002 1670 2004 2505 3340 5010 6101 10020 12202 18303 24404 30505 36606 61010 73212 91515 122020 183030 366060 1018867 2037734 3056601 4075468 5094335 6113202 10188670 12226404 15283005 20377340 30566010 61132020