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67080156 = 223111323197
BaseRepresentation
bin1111111111100…
…0111111011100
311200020000200020
43333320333130
5114133031111
610353432140
71443112653
oct377707734
9150200606
1067080156
1134957350
121a56b650
1310b88800
148ca219a
155d50906
hex3ff8fdc

67080156 has 144 divisors (see below), whose sum is σ = 192826368. Its totient is φ = 17971200.

The previous prime is 67080131. The next prime is 67080157. The reversal of 67080156 is 65108076.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67080157) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 691500 + ... + 691596.

It is an arithmetic number, because the mean of its divisors is an integer number (1339072).

Almost surely, 267080156 is an apocalyptic number.

67080156 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67080156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96413184).

67080156 is an abundant number, since it is smaller than the sum of its proper divisors (125746212).

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

67080156 is a wasteful number, since it uses less digits than its factorization.

67080156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 67080156 is about 8190.2476153044. The cubic root of 67080156 is about 406.3167143769.

The spelling of 67080156 in words is "sixty-seven million, eighty thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 11 12 13 22 26 31 33 39 44 52 62 66 78 93 97 124 132 143 156 169 186 194 286 291 338 341 372 388 403 429 507 572 582 676 682 806 858 1014 1023 1067 1164 1209 1261 1364 1612 1716 1859 2028 2046 2134 2418 2522 3007 3201 3718 3783 4092 4268 4433 4836 5044 5239 5577 6014 6402 7436 7566 8866 9021 10478 11154 12028 12804 13299 13871 15132 15717 16393 17732 18042 20956 22308 26598 27742 31434 32786 33077 36084 39091 41613 49179 53196 55484 57629 62868 65572 66154 78182 83226 98358 99231 115258 117273 132308 156364 166452 172887 180323 196716 198462 230516 234546 345774 360646 396924 430001 469092 508183 540969 691548 721292 860002 1016366 1081938 1290003 1524549 1720004 2032732 2163876 2580006 3049098 5160012 5590013 6098196 11180026 16770039 22360052 33540078 67080156