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27002040 = 23351319911
BaseRepresentation
bin110011100000…
…0010010111000
31212210211211120
41213000102320
523403031130
62402425240
7445341102
oct147002270
955724746
1027002040
111427303a
129062220
135795550
14382c572
152585910
hex19c04b8

27002040 has 128 divisors (see below), whose sum is σ = 91929600. Its totient is φ = 6289920.

The previous prime is 27002033. The next prime is 27002057. The reversal of 27002040 is 4020072.

It is a super-2 number, since 2×270020402 = 1458220328323200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 29185 + ... + 30095.

It is an arithmetic number, because the mean of its divisors is an integer number (718200).

Almost surely, 227002040 is an apocalyptic number.

27002040 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 27002040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45964800).

27002040 is an abundant number, since it is smaller than the sum of its proper divisors (64927560).

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

27002040 is a wasteful number, since it uses less digits than its factorization.

27002040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 27002040 is about 5196.3487180904. The cubic root of 27002040 is about 300.0075553653.

The spelling of 27002040 in words is "twenty-seven million, two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 19 20 24 26 30 38 39 40 52 57 60 65 76 78 95 104 114 120 130 152 156 190 195 228 247 260 285 312 380 390 456 494 520 570 741 760 780 911 988 1140 1235 1482 1560 1822 1976 2280 2470 2733 2964 3644 3705 4555 4940 5466 5928 7288 7410 9110 9880 10932 11843 13665 14820 17309 18220 21864 23686 27330 29640 34618 35529 36440 47372 51927 54660 59215 69236 71058 86545 94744 103854 109320 118430 138472 142116 173090 177645 207708 225017 236860 259635 284232 346180 355290 415416 450034 473720 519270 675051 692360 710580 900068 1038540 1125085 1350102 1421160 1800136 2077080 2250170 2700204 3375255 4500340 5400408 6750510 9000680 13501020 27002040