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390490880 = 2851331757
BaseRepresentation
bin10111010001100…
…110101100000000
31000012202222210012
4113101212230000
51244431202010
6102425324052
712451055243
oct2721465400
91005688705
10390490880
1119047063a
12aa936628
1362b922c0
1439c0b25a
1524436005
hex17466b00

390490880 has 144 divisors (see below), whose sum is σ = 1041164544. Its totient is φ = 139345920.

The previous prime is 390490879. The next prime is 390490883. The reversal of 390490880 is 88094093.

It is not an unprimeable number, because it can be changed into a prime (390490883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 515462 + ... + 516218.

Almost surely, 2390490880 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 390490880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520582272).

390490880 is an abundant number, since it is smaller than the sum of its proper divisors (650673664).

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

390490880 is a wasteful number, since it uses less digits than its factorization.

390490880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 41.

The square root of 390490880 is about 19760.8420873201. The cubic root of 390490880 is about 730.9207622010.

The spelling of 390490880 in words is "three hundred ninety million, four hundred ninety thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 32 40 52 62 64 65 80 104 124 128 130 155 160 208 248 256 260 310 320 403 416 496 520 620 640 757 806 832 992 1040 1240 1280 1514 1612 1664 1984 2015 2080 2480 3028 3224 3328 3785 3968 4030 4160 4960 6056 6448 7570 7936 8060 8320 9841 9920 12112 12896 15140 16120 16640 19682 19840 23467 24224 25792 30280 32240 39364 39680 46934 48448 49205 51584 60560 64480 78728 93868 96896 98410 103168 117335 121120 128960 157456 187736 193792 196820 234670 242240 257920 305071 314912 375472 393640 469340 484480 515840 610142 629824 750944 787280 938680 968960 1220284 1259648 1501888 1525355 1574560 1877360 2440568 2519296 3003776 3050710 3149120 3754720 4881136 6007552 6101420 6298240 7509440 9762272 12202840 12596480 15018880 19524544 24405680 30037760 39049088 48811360 78098176 97622720 195245440 390490880