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2054040840 = 233258368743
BaseRepresentation
bin111101001101110…
…0010110100001000
312022011001002022200
41322123202310020
513201313301330
6535453120200
7101621026155
oct17233426410
95264032280
102054040840
119644a8315
12493a89060
13269718aa7
14156b2522c
15c04d9a60
hex7a6e2d08

2054040840 has 96 divisors (see below), whose sum is σ = 6756160320. Its totient is φ = 541137024.

The previous prime is 2054040839. The next prime is 2054040851. The reversal of 2054040840 is 480404502.

2054040840 is a `hidden beast` number, since 2 + 0 + 540 + 40 + 84 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4492 + ... + 64251.

It is an arithmetic number, because the mean of its divisors is an integer number (70376670).

Almost surely, 22054040840 is an apocalyptic number.

2054040840 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 2054040840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3378080160).

2054040840 is an abundant number, since it is smaller than the sum of its proper divisors (4702119480).

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

2054040840 is a wasteful number, since it uses less digits than its factorization.

2054040840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68843 (or 68836 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 2054040840 is about 45321.5273352521. The cubic root of 2054040840 is about 1271.1682143560.

The spelling of 2054040840 in words is "two billion, fifty-four million, forty thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 83 90 120 166 180 249 332 360 415 498 664 747 830 996 1245 1494 1660 1992 2490 2988 3320 3735 4980 5976 7470 9960 14940 29880 68743 137486 206229 274972 343715 412458 549944 618687 687430 824916 1031145 1237374 1374860 1649832 2062290 2474748 2749720 3093435 4124580 4949496 5705669 6186870 8249160 11411338 12373740 17117007 22822676 24747480 28528345 34234014 45645352 51351021 57056690 68468028 85585035 102702042 114113380 136936056 171170070 205404084 228226760 256755105 342340140 410808168 513510210 684680280 1027020420 2054040840