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19042680 = 2335315119
BaseRepresentation
bin100100010100…
…1000101111000
31022211110122110
41020221011320
514333331210
61520052320
7320601006
oct110510570
938743573
1019042680
11a827058
1264640a0
133c39777
142759a76
151a12420
hex1229178

19042680 has 64 divisors (see below), whose sum is σ = 58982400. Its totient is φ = 4913280.

The previous prime is 19042657. The next prime is 19042691. The reversal of 19042680 is 8624091.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

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, 1161 + ... + 6279.

It is an arithmetic number, because the mean of its divisors is an integer number (921600).

Almost surely, 219042680 is an apocalyptic number.

19042680 is a gapful number since it is divisible by the number (10) 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 19042680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29491200).

19042680 is an abundant number, since it is smaller than the sum of its proper divisors (39939720).

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

19042680 is a wasteful number, since it uses less digits than its factorization.

19042680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5164 (or 5160 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 19042680 is about 4363.7919290452. The cubic root of 19042680 is about 267.0398178774.

The spelling of 19042680 in words is "nineteen million, forty-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 5119 10238 15357 20476 25595 30714 40952 51190 61428 76785 102380 122856 153570 158689 204760 307140 317378 476067 614280 634756 793445 952134 1269512 1586890 1904268 2380335 3173780 3808536 4760670 6347560 9521340 19042680