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27074040 = 23357167193
BaseRepresentation
bin110011101000…
…1110111111000
31212221111121020
41213101313320
523412332130
62404142440
7446061030
oct147216770
955844536
1027074040
1114312144
129097a20
1357bc256
14384a8c0
15259be10
hex19d1df8

27074040 has 128 divisors (see below), whose sum is σ = 93864960. Its totient is φ = 6119424.

The previous prime is 27074029. The next prime is 27074053. The reversal of 27074040 is 4047072.

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 27074040.

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, 140184 + ... + 140376.

It is an arithmetic number, because the mean of its divisors is an integer number (733320).

Almost surely, 227074040 is an apocalyptic number.

27074040 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 27074040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46932480).

27074040 is an abundant number, since it is smaller than the sum of its proper divisors (66790920).

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

27074040 is a wasteful number, since it uses less digits than its factorization.

27074040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 24.

The square root of 27074040 is about 5203.2720474717. The cubic root of 27074040 is about 300.2739719440.

The spelling of 27074040 in words is "twenty-seven million, seventy-four thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 167 168 193 210 280 334 386 420 501 579 668 772 835 840 965 1002 1158 1169 1336 1351 1544 1670 1930 2004 2316 2338 2505 2702 2895 3340 3507 3860 4008 4053 4632 4676 5010 5404 5790 5845 6680 6755 7014 7720 8106 9352 10020 10808 11580 11690 13510 14028 16212 17535 20040 20265 23160 23380 27020 28056 32231 32424 35070 40530 46760 54040 64462 70140 81060 96693 128924 140280 161155 162120 193386 225617 257848 322310 386772 451234 483465 644620 676851 773544 902468 966930 1128085 1289240 1353702 1804936 1933860 2256170 2707404 3384255 3867720 4512340 5414808 6768510 9024680 13537020 27074040