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67949320 = 23519293083
BaseRepresentation
bin1000000110011…
…01001100001000
311201212011221111
410003031030020
5114343334240
610424220104
71453362655
oct403151410
9151764844
1067949320
11353a036a
121a90a634
13111012ca
14904ac2c
155e731ea
hex40cd308

67949320 has 64 divisors (see below), whose sum is σ = 166536000. Its totient is φ = 24853248.

The previous prime is 67949311. The next prime is 67949327. The reversal of 67949320 is 2394976.

It is a super-2 number, since 2×679493202 = 9234220176924800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (67949327) 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, 20499 + ... + 23581.

It is an arithmetic number, because the mean of its divisors is an integer number (2602125).

Almost surely, 267949320 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 67949320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83268000).

67949320 is an abundant number, since it is smaller than the sum of its proper divisors (98586680).

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

67949320 is a wasteful number, since it uses less digits than its factorization.

67949320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3142 (or 3138 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 40.

The square root of 67949320 is about 8243.1377520942. The cubic root of 67949320 is about 408.0640838722.

The spelling of 67949320 in words is "sixty-seven million, nine hundred forty-nine thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 29 38 40 58 76 95 116 145 152 190 232 290 380 551 580 760 1102 1160 2204 2755 3083 4408 5510 6166 11020 12332 15415 22040 24664 30830 58577 61660 89407 117154 123320 178814 234308 292885 357628 447035 468616 585770 715256 894070 1171540 1698733 1788140 2343080 3397466 3576280 6794932 8493665 13589864 16987330 33974660 67949320