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73842240 = 263576919
BaseRepresentation
bin1000110011010…
…11111001000000
312010221120111210
410121223321000
5122400422430
611154410120
71554435333
oct431537100
9163846453
1073842240
113875584a
1220890940
13123b5644
149b4261a
1567392b0
hex466be40

73842240 has 56 divisors (see below), whose sum is σ = 234452160. Its totient is φ = 19691008.

The previous prime is 73842229. The next prime is 73842253. The reversal of 73842240 is 4224837.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 73842198 and 73842207.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37500 + ... + 39419.

Almost surely, 273842240 is an apocalyptic number.

It is an amenable number.

73842240 is an abundant number, since it is smaller than the sum of its proper divisors (160609920).

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

73842240 is a wasteful number, since it uses less digits than its factorization.

73842240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76939 (or 76929 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 73842240 is about 8593.1507609258. The cubic root of 73842240 is about 419.5350864669.

The spelling of 73842240 in words is "seventy-three million, eight hundred forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 76919 153838 230757 307676 384595 461514 615352 769190 923028 1153785 1230704 1538380 1846056 2307570 2461408 3076760 3692112 4615140 4922816 6153520 7384224 9230280 12307040 14768448 18460560 24614080 36921120 73842240