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61435020 = 22351815657
BaseRepresentation
bin1110101001011…
…0110010001100
311021121020000010
43222112302030
5111211410040
610032433220
71344121563
oct352266214
9137536003
1061435020
1131751049
12186a8810
13c9601aa
148232bda
1555d7e80
hex3a96c8c

61435020 has 48 divisors (see below), whose sum is σ = 172999008. Its totient is φ = 16289280.

The previous prime is 61434979. The next prime is 61435043. The reversal of 61435020 is 2053416.

It is a happy number.

61435020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8032 + ... + 13688.

It is an arithmetic number, because the mean of its divisors is an integer number (3604146).

Almost surely, 261435020 is an apocalyptic number.

61435020 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61435020 is an abundant number, since it is smaller than the sum of its proper divisors (111563988).

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

61435020 is a wasteful number, since it uses less digits than its factorization.

61435020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5850 (or 5848 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 61435020 is about 7838.0495022678. The cubic root of 61435020 is about 394.5832703755.

Adding to 61435020 its reverse (2053416), we get a palindrome (63488436).

The spelling of 61435020 in words is "sixty-one million, four hundred thirty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 181 362 543 724 905 1086 1810 2172 2715 3620 5430 5657 10860 11314 16971 22628 28285 33942 56570 67884 84855 113140 169710 339420 1023917 2047834 3071751 4095668 5119585 6143502 10239170 12287004 15358755 20478340 30717510 61435020