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20187840 = 2635171237
BaseRepresentation
bin100110100000…
…0101011000000
31101222122111210
41031000223000
520132002330
62000410120
7333410451
oct115005300
941878453
1020187840
1110439472
126916940
13424aa8a
142977128
151b8b8b0
hex1340ac0

20187840 has 112 divisors (see below), whose sum is σ = 67921632. Its totient is φ = 5062656.

The previous prime is 20187833. The next prime is 20187887. The reversal of 20187840 is 4878102.

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 = 20187798 and 20187807.

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, 15702 + ... + 16938.

Almost surely, 220187840 is an apocalyptic number.

20187840 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 20187840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33960816).

20187840 is an abundant number, since it is smaller than the sum of its proper divisors (47733792).

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

20187840 is a wasteful number, since it uses less digits than its factorization.

20187840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 20187840 is about 4493.0880249557. The cubic root of 20187840 is about 272.2889087091.

The spelling of 20187840 in words is "twenty million, one hundred eighty-seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 136 160 170 192 204 240 255 272 320 340 408 480 510 544 680 816 960 1020 1088 1237 1360 1632 2040 2474 2720 3264 3711 4080 4948 5440 6185 7422 8160 9896 12370 14844 16320 18555 19792 21029 24740 29688 37110 39584 42058 49480 59376 63087 74220 79168 84116 98960 105145 118752 126174 148440 168232 197920 210290 237504 252348 296880 315435 336464 395840 420580 504696 593760 630870 672928 841160 1009392 1187520 1261740 1345856 1682320 2018784 2523480 3364640 4037568 5046960 6729280 10093920 20187840