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73496940 = 223511195861
BaseRepresentation
bin1000110000101…
…11100101101100
312010022000211220
410120113211230
5122303400230
611143143340
71551466536
oct430274554
9163260756
1073496940
113853a380
1220744b50
13122c441a
149a92856
1566bbd10
hex461796c

73496940 has 96 divisors (see below), whose sum is σ = 236355840. Its totient is φ = 16876800.

The previous prime is 73496903. The next prime is 73496963. The reversal of 73496940 is 4969437.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 73496892 and 73496901.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9610 + ... + 15470.

It is an arithmetic number, because the mean of its divisors is an integer number (2462040).

Almost surely, 273496940 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 73496940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118177920).

73496940 is an abundant number, since it is smaller than the sum of its proper divisors (162858900).

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

73496940 is a wasteful number, since it uses less digits than its factorization.

73496940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5903 (or 5901 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 73496940 is about 8573.0356350595. The cubic root of 73496940 is about 418.8801232204.

The spelling of 73496940 in words is "seventy-three million, four hundred ninety-six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 30 33 38 44 55 57 60 66 76 95 110 114 132 165 190 209 220 228 285 330 380 418 570 627 660 836 1045 1140 1254 2090 2508 3135 4180 5861 6270 11722 12540 17583 23444 29305 35166 58610 64471 70332 87915 111359 117220 128942 175830 193413 222718 257884 322355 334077 351660 386826 445436 556795 644710 668154 773652 967065 1113590 1224949 1289420 1336308 1670385 1934130 2227180 2449898 3340770 3674847 3868260 4899796 6124745 6681540 7349694 12249490 14699388 18374235 24498980 36748470 73496940