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61350168 = 23311281827
BaseRepresentation
bin1110101000001…
…0000100011000
311021102220121110
43222002010120
5111201201133
610030540320
71343316315
oct352020430
9137386543
1061350168
11316a3320
12186676a0
13c930699
14820dd0c
1555bcc63
hex3a82118

61350168 has 64 divisors (see below), whose sum is σ = 168117120. Its totient is φ = 18502400.

The previous prime is 61350151. The next prime is 61350169. The reversal of 61350168 is 86105316.

It is a super-2 number, since 2×613501682 = 7527686227256448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61350169) 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, 73771 + ... + 74597.

It is an arithmetic number, because the mean of its divisors is an integer number (2626830).

Almost surely, 261350168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61350168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84058560).

61350168 is an abundant number, since it is smaller than the sum of its proper divisors (106766952).

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

61350168 is a wasteful number, since it uses less digits than its factorization.

61350168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 61350168 is about 7832.6348057343. The cubic root of 61350168 is about 394.4015249267.

The spelling of 61350168 in words is "sixty-one million, three hundred fifty thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 281 562 827 843 1124 1654 1686 2248 2481 3091 3308 3372 4962 6182 6616 6744 9097 9273 9924 12364 18194 18546 19848 24728 27291 36388 37092 54582 72776 74184 109164 218328 232387 464774 697161 929548 1394322 1859096 2556257 2788644 5112514 5577288 7668771 10225028 15337542 20450056 30675084 61350168