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390503680 = 2857411063
BaseRepresentation
bin10111010001101…
…001110100000000
31000012210122100021
4113101221310000
51244432104210
6102425503224
712451140460
oct2721516400
91005718307
10390503680
1119047a216
12aa941b14
1362b98088
1439c11ba0
1524439bda
hex17469d00

390503680 has 144 divisors (see below), whose sum is σ = 1096107264. Its totient is φ = 130498560.

The previous prime is 390503677. The next prime is 390503717. The reversal of 390503680 is 86305093.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 366829 + ... + 367891.

It is an arithmetic number, because the mean of its divisors is an integer number (7611856).

Almost surely, 2390503680 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 390503680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548053632).

390503680 is an abundant number, since it is smaller than the sum of its proper divisors (705603584).

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

390503680 is a wasteful number, since it uses less digits than its factorization.

390503680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 390503680 is about 19761.1659575036. The cubic root of 390503680 is about 730.9287484597.

The spelling of 390503680 in words is "three hundred ninety million, five hundred three thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 41 56 64 70 80 82 112 128 140 160 164 205 224 256 280 287 320 328 410 448 560 574 640 656 820 896 1063 1120 1148 1280 1312 1435 1640 1792 2126 2240 2296 2624 2870 3280 4252 4480 4592 5248 5315 5740 6560 7441 8504 8960 9184 10496 10630 11480 13120 14882 17008 18368 21260 22960 26240 29764 34016 36736 37205 42520 43583 45920 52480 59528 68032 73472 74410 85040 87166 91840 119056 136064 148820 170080 174332 183680 217915 238112 272128 297640 305081 340160 348664 367360 435830 476224 595280 610162 680320 697328 871660 952448 1190560 1220324 1360640 1394656 1525405 1743320 1904896 2381120 2440648 2789312 3050810 3486640 4762240 4881296 5578624 6101620 6973280 9524480 9762592 11157248 12203240 13946560 19525184 24406480 27893120 39050368 48812960 55786240 78100736 97625920 195251840 390503680