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61434420 = 22355319319
BaseRepresentation
bin1110101001011…
…0101000110100
311021121012011220
43222112220310
5111211400140
610032430340
71344120045
oct352265064
9137535156
1061434420
1131750653
12186a83b0
13c95cb38
1482328cc
1555d7bd0
hex3a96a34

61434420 has 48 divisors (see below), whose sum is σ = 175271040. Its totient is φ = 16072576.

The previous prime is 61434419. The next prime is 61434421. The reversal of 61434420 is 2443416.

61434420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (61434419) and next prime (61434421).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61434421) by changing a digit.

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, 6480 + ... + 12839.

It is an arithmetic number, because the mean of its divisors is an integer number (3651480).

Almost surely, 261434420 is an apocalyptic number.

61434420 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61434420 is an abundant number, since it is smaller than the sum of its proper divisors (113836620).

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

61434420 is a wasteful number, since it uses less digits than its factorization.

61434420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19384 (or 19382 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 61434420 is about 7838.0112273459. The cubic root of 61434420 is about 394.5819858165.

Adding to 61434420 its reverse (2443416), we get a palindrome (63877836).

The spelling of 61434420 in words is "sixty-one million, four hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 636 795 1060 1590 3180 19319 38638 57957 77276 96595 115914 193190 231828 289785 386380 579570 1023907 1159140 2047814 3071721 4095628 5119535 6143442 10239070 12286884 15358605 20478140 30717210 61434420