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2070428256 = 253313184333
BaseRepresentation
bin111101101101000…
…0011101001100000
312100021212122122000
41323122003221200
513220012201011
6541240244000
7102210230661
oct17332035140
95307778560
102070428256
11972780436
12499470600
1326cc35aa0
14158d8d368
15c1b75356
hex7b683a60

2070428256 has 96 divisors (see below), whose sum is σ = 6503303520. Its totient is φ = 637051392.

The previous prime is 2070428221. The next prime is 2070428257. The reversal of 2070428256 is 6528240702.

2070428256 is a `hidden beast` number, since 207 + 0 + 428 + 25 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2070428256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2070428257) 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, 80935 + ... + 103398.

It is an arithmetic number, because the mean of its divisors is an integer number (67742745).

Almost surely, 22070428256 is an apocalyptic number.

2070428256 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2070428256 is an abundant number, since it is smaller than the sum of its proper divisors (4432875264).

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

2070428256 is a wasteful number, since it uses less digits than its factorization.

2070428256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184365 (or 184351 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2070428256 is about 45501.9588149785. The cubic root of 2070428256 is about 1274.5397813062.

Adding to 2070428256 its reverse (6528240702), we get a palindrome (8598668958).

The spelling of 2070428256 in words is "two billion, seventy million, four hundred twenty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 1248 1404 1872 2808 3744 5616 11232 184333 368666 552999 737332 1105998 1474664 1658997 2211996 2396329 2949328 3317994 4423992 4792658 4976991 5898656 6635988 7188987 8847984 9585316 9953982 13271976 14377974 17695968 19170632 19907964 21566961 26543952 28755948 38341264 39815928 43133922 53087904 57511896 64700883 76682528 79631856 86267844 115023792 129401766 159263712 172535688 230047584 258803532 345071376 517607064 690142752 1035214128 2070428256