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67423104 = 27347929
BaseRepresentation
bin1000000010011…
…00101110000000
311200212110010000
410001030232000
5114230014404
610405040000
71446041550
oct401145600
9150773100
1067423104
1135070a81
121a6b6000
1310c78938
148d51160
155dbc339
hex404cb80

67423104 has 160 divisors (see below), whose sum is σ = 229561200. Its totient is φ = 19243008.

The previous prime is 67423087. The next prime is 67423121. The reversal of 67423104 is 40132476.

It is an interprime number because it is at equal distance from previous prime (67423087) and next prime (67423121).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 72112 + ... + 73040.

Almost surely, 267423104 is an apocalyptic number.

67423104 is a gapful number since it is divisible by the number (64) 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 67423104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114780600).

67423104 is an abundant number, since it is smaller than the sum of its proper divisors (162138096).

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

67423104 is an equidigital number, since it uses as much as digits as its factorization.

67423104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 67423104 is about 8211.1572874961. The cubic root of 67423104 is about 407.0079705128.

The spelling of 67423104 in words is "sixty-seven million, four hundred twenty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 128 144 162 168 189 192 216 224 252 288 324 336 378 384 432 448 504 567 576 648 672 756 864 896 929 1008 1134 1152 1296 1344 1512 1728 1858 2016 2268 2592 2688 2787 3024 3456 3716 4032 4536 5184 5574 6048 6503 7432 8064 8361 9072 10368 11148 12096 13006 14864 16722 18144 19509 22296 24192 25083 26012 29728 33444 36288 39018 44592 50166 52024 58527 59456 66888 72576 75249 78036 89184 100332 104048 117054 118912 133776 150498 156072 175581 178368 200664 208096 234108 267552 300996 312144 351162 356736 401328 416192 468216 526743 535104 601992 624288 702324 802656 832384 936432 1053486 1070208 1203984 1248576 1404648 1605312 1872864 2106972 2407968 2497152 2809296 3210624 3745728 4213944 4815936 5618592 7491456 8427888 9631872 11237184 16855776 22474368 33711552 67423104