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60149466 = 234135
BaseRepresentation
bin1110010101110…
…0111011011010
311012011220120000
43211130323122
5110344240331
65545113430
71330155606
oct345347332
9135156500
1060149466
1130a53203
1218188876
13c600000
147dba506
1554320e6
hex395ceda

60149466 has 60 divisors (see below), whose sum is σ = 146010942. Its totient is φ = 18507528.

The previous prime is 60149461. The next prime is 60149473. The reversal of 60149466 is 66494106.

60149466 = T36 + T37 + ... + T711.

60149466 is a `hidden beast` number, since 601 + 4 + 9 + 46 + 6 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 18275625 + 41873841 = 4275^2 + 6471^2 .

It is a Curzon number.

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 60149466.

It is not an unprimeable number, because it can be changed into a prime (60149461) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4626876 + ... + 4626888.

Almost surely, 260149466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60149466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73005471).

60149466 is an abundant number, since it is smaller than the sum of its proper divisors (85861476).

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

60149466 is an frugal number, since it uses more digits than its factorization.

60149466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 60149466 is about 7755.6086801746. The cubic root of 60149466 is about 391.8115721156.

The spelling of 60149466 in words is "sixty million, one hundred forty-nine thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 169 234 338 351 507 702 1014 1053 1521 2106 2197 3042 4394 4563 6591 9126 13182 13689 19773 27378 28561 39546 57122 59319 85683 118638 171366 177957 257049 355914 371293 514098 742586 771147 1113879 1542294 2227758 2313441 3341637 4626882 6683274 10024911 20049822 30074733 60149466