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73939920 = 24351911613
BaseRepresentation
bin1000110100000…
…11101111010000
312011010112111120
410122003233100
5122412034140
611200442240
71555323165
oct432035720
9164115446
1073939920
113881217a
1220919380
131241ac42
149b6a06c
1567581d0
hex4683bd0

73939920 has 80 divisors (see below), whose sum is σ = 230556672. Its totient is φ = 19601920.

The previous prime is 73939913. The next prime is 73939951. The reversal of 73939920 is 2993937.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×739399202 = 10934223539212800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45034 + ... + 46646.

Almost surely, 273939920 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 73939920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115278336).

73939920 is an abundant number, since it is smaller than the sum of its proper divisors (156616752).

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

73939920 is a wasteful number, since it uses less digits than its factorization.

73939920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820 (or 1814 counting only the distinct ones).

The product of its (nonzero) digits is 91854, while the sum is 42.

The square root of 73939920 is about 8598.8324788892. The cubic root of 73939920 is about 419.7199947737.

The spelling of 73939920 in words is "seventy-three million, nine hundred thirty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 191 240 382 573 764 955 1146 1528 1613 1910 2292 2865 3056 3226 3820 4584 4839 5730 6452 7640 8065 9168 9678 11460 12904 15280 16130 19356 22920 24195 25808 32260 38712 45840 48390 64520 77424 96780 129040 193560 308083 387120 616166 924249 1232332 1540415 1848498 2464664 3080830 3696996 4621245 4929328 6161660 7393992 9242490 12323320 14787984 18484980 24646640 36969960 73939920