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72046140 = 22352834243
BaseRepresentation
bin1000100101101…
…01011000111100
312000120022201120
410102311120330
5121420434030
611052110540
71533245025
oct422653074
9160508646
1072046140
1137739371
1220165450
1311c06c6a
1497d5c4c
1564d2010
hex44b563c

72046140 has 48 divisors (see below), whose sum is σ = 202489728. Its totient is φ = 19139904.

The previous prime is 72046129. The next prime is 72046147. The reversal of 72046140 is 4164027.

It is a self number, because there is not a number n which added to its sum of digits gives 72046140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72046147) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 14859 + ... + 19101.

It is an arithmetic number, because the mean of its divisors is an integer number (4218536).

Almost surely, 272046140 is an apocalyptic number.

It is an amenable number.

72046140 is an abundant number, since it is smaller than the sum of its proper divisors (130443588).

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

72046140 is a wasteful number, since it uses less digits than its factorization.

72046140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4538 (or 4536 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 72046140 is about 8487.9997643732. Note that the first 3 decimals coincide. The cubic root of 72046140 is about 416.1056114377.

The spelling of 72046140 in words is "seventy-two million, forty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 283 566 849 1132 1415 1698 2830 3396 4243 4245 5660 8486 8490 12729 16972 16980 21215 25458 42430 50916 63645 84860 127290 254580 1200769 2401538 3602307 4803076 6003845 7204614 12007690 14409228 18011535 24015380 36023070 72046140