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27098040 = 2335241937
BaseRepresentation
bin110011101011…
…1101110111000
31212222201112010
41213113232320
523414114130
62404445520
7446221014
oct147275670
955881463
1027098040
1114329182
1290a98a0
1357ca158
143855544
1525a40b0
hex19d7bb8

27098040 has 64 divisors (see below), whose sum is σ = 81718560. Its totient is φ = 7188480.

The previous prime is 27098039. The next prime is 27098069. The reversal of 27098040 is 4089072.

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 = 27097989 and 27098007.

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, 28452 + ... + 29388.

Almost surely, 227098040 is an apocalyptic number.

27098040 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 27098040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40859280).

27098040 is an abundant number, since it is smaller than the sum of its proper divisors (54620520).

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

27098040 is a wasteful number, since it uses less digits than its factorization.

27098040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 27098040 is about 5205.5777777303. The cubic root of 27098040 is about 300.3626724966.

The spelling of 27098040 in words is "twenty-seven million, ninety-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 241 482 723 937 964 1205 1446 1874 1928 2410 2811 2892 3615 3748 4685 4820 5622 5784 7230 7496 9370 9640 11244 14055 14460 18740 22488 28110 28920 37480 56220 112440 225817 451634 677451 903268 1129085 1354902 1806536 2258170 2709804 3387255 4516340 5419608 6774510 9032680 13549020 27098040