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73934120 = 23513210937
BaseRepresentation
bin1000110100000…
…10010100101000
312011010020112202
410122002110220
5122411342440
611200355332
71555300241
oct432022450
9164106482
1073934120
1138808887
1220915b48
1312418400
149b67cc8
156756615
hex4682528

73934120 has 48 divisors (see below), whose sum is σ = 180148860. Its totient is φ = 27296256.

The previous prime is 73934087. The next prime is 73934131. The reversal of 73934120 is 2143937.

It can be written as a sum of positive squares in 6 ways, for example, as 24344356 + 49589764 = 4934^2 + 7042^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1292 + ... + 12228.

Almost surely, 273934120 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 73934120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90074430).

73934120 is an abundant number, since it is smaller than the sum of its proper divisors (106214740).

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

73934120 is a wasteful number, since it uses less digits than its factorization.

73934120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10974 (or 10957 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 73934120 is about 8598.4952171877. The cubic root of 73934120 is about 419.7090199191.

The spelling of 73934120 in words is "seventy-three million, nine hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 260 338 520 676 845 1352 1690 3380 6760 10937 21874 43748 54685 87496 109370 142181 218740 284362 437480 568724 710905 1137448 1421810 1848353 2843620 3696706 5687240 7393412 9241765 14786824 18483530 36967060 73934120