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18920070 = 232513103157
BaseRepresentation
bin100100000101…
…1001010000110
31022121020110100
41020023022012
514320420240
61513304530
7316550361
oct110131206
938536410
1018920070
11a752a24
126405146
133bc5a10
1427270d8
1519dae30
hex120b286

18920070 has 96 divisors (see below), whose sum is σ = 53831232. Its totient is φ = 4582656.

The previous prime is 18920051. The next prime is 18920071. The reversal of 18920070 is 7002981.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18920071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120432 + ... + 120588.

It is an arithmetic number, because the mean of its divisors is an integer number (560742).

Almost surely, 218920070 is an apocalyptic number.

18920070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 18920070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26915616).

18920070 is an abundant number, since it is smaller than the sum of its proper divisors (34911162).

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

18920070 is a wasteful number, since it uses less digits than its factorization.

18920070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 18920070 is about 4349.7206806874. The cubic root of 18920070 is about 266.4654541166.

The spelling of 18920070 in words is "eighteen million, nine hundred twenty thousand, seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 103 117 130 157 195 206 234 309 314 390 471 515 585 618 785 927 942 1030 1170 1339 1413 1545 1570 1854 2041 2355 2678 2826 3090 4017 4082 4635 4710 6123 6695 7065 8034 9270 10205 12051 12246 13390 14130 16171 18369 20085 20410 24102 30615 32342 36738 40170 48513 60255 61230 80855 91845 97026 120510 145539 161710 183690 210223 242565 291078 420446 485130 630669 727695 1051115 1261338 1455390 1892007 2102230 3153345 3784014 6306690 9460035 18920070