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390105430 = 2511133773101
BaseRepresentation
bin10111010000001…
…000100101010110
31000012001102001021
4113100020211112
51244331333210
6102413151354
712444561421
oct2720104526
91005042037
10390105430
11190227a90
12aa78b55a
1362a88a20
1439b4a9b8
15243abbda
hex17408956

390105430 has 128 divisors (see below), whose sum is σ = 867355776. Its totient is φ = 124416000.

The previous prime is 390105403. The next prime is 390105433. The reversal of 390105430 is 34501093.

It is a junction number, because it is equal to n+sod(n) for n = 390105395 and 390105404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390105433) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3862380 + ... + 3862480.

It is an arithmetic number, because the mean of its divisors is an integer number (6776217).

Almost surely, 2390105430 is an apocalyptic number.

390105430 is an abundant number, since it is smaller than the sum of its proper divisors (477250346).

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

390105430 is a wasteful number, since it uses less digits than its factorization.

390105430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242.

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 390105430 is about 19751.0868055406. The cubic root of 390105430 is about 730.6801879461.

The spelling of 390105430 in words is "three hundred ninety million, one hundred five thousand, four hundred thirty".

Divisors: 1 2 5 10 11 13 22 26 37 55 65 73 74 101 110 130 143 146 185 202 286 365 370 407 481 505 715 730 803 814 949 962 1010 1111 1313 1430 1606 1898 2035 2222 2405 2626 2701 3737 4015 4070 4745 4810 5291 5402 5555 6565 7373 7474 8030 9490 10439 10582 11110 13130 13505 14443 14746 18685 20878 26455 27010 28886 29711 35113 36865 37370 41107 48581 52195 52910 59422 70226 72215 73730 81103 82214 95849 97162 104390 144430 148555 162206 175565 191698 205535 242905 272801 297110 351130 386243 405515 411070 479245 485810 534391 545602 772486 811030 958490 1054339 1068782 1364005 1931215 2108678 2671955 2728010 3000811 3546413 3862430 5271695 5343910 6001622 7092826 10543390 15004055 17732065 30008110 35464130 39010543 78021086 195052715 390105430