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2554006020 = 22352314912421
BaseRepresentation
bin1001100000111011…
…0000101000000100
320120222210221121120
42120032300220010
520212311143040
61101233113540
7120201456456
oct23016605004
96528727546
102554006020
1110a0740585
125b33b88b0
1331918b087
141a32ac2d6
15ee3477d0
hex983b0a04

2554006020 has 96 divisors (see below), whose sum is σ = 7512825600. Its totient is φ = 647032320.

The previous prime is 2554006019. The next prime is 2554006051. The reversal of 2554006020 is 206004552.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199410 + ... + 211830.

It is an arithmetic number, because the mean of its divisors is an integer number (78258600).

Almost surely, 22554006020 is an apocalyptic number.

2554006020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2554006020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3756412800).

2554006020 is an abundant number, since it is smaller than the sum of its proper divisors (4958819580).

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

2554006020 is a wasteful number, since it uses less digits than its factorization.

2554006020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12605 (or 12603 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 2554006020 is about 50537.1746341245. The cubic root of 2554006020 is about 1366.9122603119.

The spelling of 2554006020 in words is "two billion, five hundred fifty-four million, six thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 149 230 276 298 345 447 460 596 690 745 894 1380 1490 1788 2235 2980 3427 4470 6854 8940 10281 12421 13708 17135 20562 24842 34270 37263 41124 49684 51405 62105 68540 74526 102810 124210 149052 186315 205620 248420 285683 372630 571366 745260 857049 1142732 1428415 1714098 1850729 2856830 3428196 3701458 4285245 5552187 5713660 7402916 8570490 9253645 11104374 17140980 18507290 22208748 27760935 37014580 42566767 55521870 85133534 111043740 127700301 170267068 212833835 255400602 425667670 510801204 638501505 851335340 1277003010 2554006020