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2023751040 = 27351397583
BaseRepresentation
bin111100010011111…
…1111110110000000
312020001001012112020
41320213333312000
513121040013130
6532452001440
7101102412543
oct17047776600
95201035466
102023751040
1194939a123
12485900280
13263371c2c
14152abc85a
15bca04e10
hex789ffd80

2023751040 has 128 divisors (see below), whose sum is σ = 6497971200. Its totient is φ = 535713792.

The previous prime is 2023751033. The next prime is 2023751057. The reversal of 2023751040 is 401573202.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2023751040.

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, 263089 + ... + 270671.

It is an arithmetic number, because the mean of its divisors is an integer number (50765400).

Almost surely, 22023751040 is an apocalyptic number.

2023751040 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 2023751040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3248985600).

2023751040 is an abundant number, since it is smaller than the sum of its proper divisors (4474220160).

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

2023751040 is a wasteful number, since it uses less digits than its factorization.

2023751040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7744 (or 7732 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 2023751040 is about 44986.1205262245. The cubic root of 2023751040 is about 1264.8888423212. Note that the first 4 decimals are identical.

The spelling of 2023751040 in words is "two billion, twenty-three million, seven hundred fifty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 139 160 192 240 278 320 384 417 480 556 640 695 834 960 1112 1390 1668 1920 2085 2224 2780 3336 4170 4448 5560 6672 7583 8340 8896 11120 13344 15166 16680 17792 22240 22749 26688 30332 33360 37915 44480 45498 53376 60664 66720 75830 88960 90996 113745 121328 133440 151660 181992 227490 242656 266880 303320 363984 454980 485312 606640 727968 909960 970624 1054037 1213280 1455936 1819920 2108074 2426560 2911872 3162111 3639840 4216148 4853120 5270185 6324222 7279680 8432296 10540370 12648444 14559360 15810555 16864592 21080740 25296888 31621110 33729184 42161480 50593776 63242220 67458368 84322960 101187552 126484440 134916736 168645920 202375104 252968880 337291840 404750208 505937760 674583680 1011875520 2023751040