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2154342540 = 2235741125107
BaseRepresentation
bin1000000001101000…
…1010100010001100
312120010202221101110
42000122022202030
513403002430130
6553435012020
7104246416020
oct20032124214
95503687343
102154342540
11a06085489
1250159a010
132844369cc
14166194380
15c91edab0
hex8068a88c

2154342540 has 96 divisors (see below), whose sum is σ = 7062096384. Its totient is φ = 480407040.

The previous prime is 2154342523. The next prime is 2154342559. The reversal of 2154342540 is 452434512.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2154342498 and 2154342507.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45334 + ... + 79773.

It is an arithmetic number, because the mean of its divisors is an integer number (73563504).

Almost surely, 22154342540 is an apocalyptic number.

2154342540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2154342540 is an abundant number, since it is smaller than the sum of its proper divisors (4907753844).

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

2154342540 is a wasteful number, since it uses less digits than its factorization.

2154342540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125167 (or 125165 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 2154342540 is about 46414.8956693861. The cubic root of 2154342540 is about 1291.5312505881.

The spelling of 2154342540 in words is "two billion, one hundred fifty-four million, three hundred forty-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 41 42 60 70 82 84 105 123 140 164 205 210 246 287 410 420 492 574 615 820 861 1148 1230 1435 1722 2460 2870 3444 4305 5740 8610 17220 125107 250214 375321 500428 625535 750642 875749 1251070 1501284 1751498 1876605 2502140 2627247 3502996 3753210 4378745 5129387 5254494 7506420 8757490 10258774 10508988 13136235 15388161 17514980 20517548 25646935 26272470 30776322 35905709 51293870 52544940 61552644 71811418 76940805 102587740 107717127 143622836 153881610 179528545 215434254 307763220 359057090 430868508 538585635 718114180 1077171270 2154342540