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75742740 = 223251922147
BaseRepresentation
bin1001000001110…
…11111000010100
312021112010111200
410200323320110
5123342231430
611303232500
71606542213
oct440737024
9167463450
1075742740
1139833707
1221448730
13128cc6b8
14a0b907a
1569b2460
hex483be14

75742740 has 72 divisors (see below), whose sum is σ = 241856160. Its totient is φ = 19134144.

The previous prime is 75742739. The next prime is 75742753. The reversal of 75742740 is 4724757.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 75742695 and 75742704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7654 + ... + 14493.

Almost surely, 275742740 is an apocalyptic number.

It is an amenable number.

75742740 is an abundant number, since it is smaller than the sum of its proper divisors (166113420).

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

75742740 is a wasteful number, since it uses less digits than its factorization.

75742740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22181 (or 22176 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 36.

The square root of 75742740 is about 8703.0305066684. The cubic root of 75742740 is about 423.1038760366.

The spelling of 75742740 in words is "seventy-five million, seven hundred forty-two thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 22147 44294 66441 88588 110735 132882 199323 221470 265764 332205 398646 420793 442940 664410 797292 841586 996615 1262379 1328820 1683172 1993230 2103965 2524758 3787137 3986460 4207930 5049516 6311895 7574274 8415860 12623790 15148548 18935685 25247580 37871370 75742740