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73375140 = 223531103383
BaseRepresentation
bin1000101111110…
…01110110100100
312010001211202210
410113321312210
5122241001030
611140403420
71550451456
oct427716644
9163054683
1073375140
1138466913
12206a6570
1312280b57
149a602d6
156695bb0
hex45f9da4

73375140 has 96 divisors (see below), whose sum is σ = 214695936. Its totient is φ = 18702720.

The previous prime is 73375123. The next prime is 73375153. The reversal of 73375140 is 4157337.

It is a super-2 number, since 2×733751402 = 10767822340039200, which contains 22 as substring.

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 = 73375098 and 73375107.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191389 + ... + 191771.

It is an arithmetic number, because the mean of its divisors is an integer number (2236416).

Almost surely, 273375140 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 73375140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107347968).

73375140 is an abundant number, since it is smaller than the sum of its proper divisors (141320796).

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

73375140 is a wasteful number, since it uses less digits than its factorization.

73375140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 30.

The square root of 73375140 is about 8565.9290214197. The cubic root of 73375140 is about 418.6486042464.

The spelling of 73375140 in words is "seventy-three million, three hundred seventy-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 103 124 155 186 206 309 310 372 383 412 465 515 618 620 766 930 1030 1149 1236 1532 1545 1860 1915 2060 2298 3090 3193 3830 4596 5745 6180 6386 7660 9579 11490 11873 12772 15965 19158 22980 23746 31930 35619 38316 39449 47492 47895 59365 63860 71238 78898 95790 118347 118730 142476 157796 178095 191580 197245 236694 237460 356190 394490 473388 591735 712380 788980 1183470 1222919 2366940 2445838 3668757 4891676 6114595 7337514 12229190 14675028 18343785 24458380 36687570 73375140