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60812016 = 2433797353
BaseRepresentation
bin1110011111111…
…0101011110000
311020102120101220
43213332223300
5111031441031
610011225040
71335615336
oct347765360
9136376356
1060812016
1131365a71
1218448180
13c7a2755
14810db56
155513596
hex39feaf0

60812016 has 80 divisors (see below), whose sum is σ = 163468704. Its totient is φ = 19464192.

The previous prime is 60811991. The next prime is 60812021. The reversal of 60812016 is 61021806.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172096 + ... + 172448.

Almost surely, 260812016 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 60812016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81734352).

60812016 is an abundant number, since it is smaller than the sum of its proper divisors (102656688).

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

60812016 is a wasteful number, since it uses less digits than its factorization.

60812016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 60812016 is about 7798.2059475241. The cubic root of 60812016 is about 393.2449314562.

The spelling of 60812016 in words is "sixty million, eight hundred twelve thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 97 111 148 194 222 291 296 353 388 444 582 592 706 776 888 1059 1164 1412 1552 1776 2118 2328 2824 3589 4236 4656 5648 7178 8472 10767 13061 14356 16944 21534 26122 28712 34241 39183 43068 52244 57424 68482 78366 86136 102723 104488 136964 156732 172272 205446 208976 273928 313464 410892 547856 626928 821784 1266917 1643568 2533834 3800751 5067668 7601502 10135336 15203004 20270672 30406008 60812016