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2154015040 = 26571113839
BaseRepresentation
bin1000000001100011…
…1010100101000000
312120010011022010211
42000120322211000
513402411440130
6553424003504
7104243553142
oct20030724500
95503138124
102154015040
11a05981421
12501460594
13284350918
1416610ac92
15c9186a2a
hex8063a940

2154015040 has 112 divisors (see below), whose sum is σ = 5253776640. Its totient is φ = 840949760.

The previous prime is 2154015023. The next prime is 2154015119. The reversal of 2154015040 is 405104512.

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, 2566941 + ... + 2567779.

It is an arithmetic number, because the mean of its divisors is an integer number (46908720).

Almost surely, 22154015040 is an apocalyptic number.

2154015040 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 2154015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2626888320).

2154015040 is an abundant number, since it is smaller than the sum of its proper divisors (3099761600).

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

2154015040 is a wasteful number, since it uses less digits than its factorization.

2154015040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 2154015040 is about 46411.3675730418. The cubic root of 2154015040 is about 1291.4658017080.

Adding to 2154015040 its reverse (405104512), we get a palindrome (2559119552).

The spelling of 2154015040 in words is "two billion, one hundred fifty-four million, fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 71 80 113 142 160 226 284 320 355 452 565 568 710 839 904 1130 1136 1420 1678 1808 2260 2272 2840 3356 3616 4195 4520 4544 5680 6712 7232 8023 8390 9040 11360 13424 16046 16780 18080 22720 26848 32092 33560 36160 40115 53696 59569 64184 67120 80230 94807 119138 128368 134240 160460 189614 238276 256736 268480 297845 320920 379228 474035 476552 513472 595690 641840 758456 948070 953104 1191380 1283680 1516912 1896140 1906208 2382760 2567360 3033824 3792280 3812416 4765520 6067648 6731297 7584560 9531040 13462594 15169120 19062080 26925188 30338240 33656485 53850376 67312970 107700752 134625940 215401504 269251880 430803008 538503760 1077007520 2154015040