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20192640 = 273513809
BaseRepresentation
bin100110100000…
…1110110000000
31101222220002120
41031001312000
520132131030
62000444240
7333430446
oct115016600
941886076
1020192640
1110442036
126919680
134250010
142978b96
151b8d010
hex1341d80

20192640 has 128 divisors (see below), whose sum is σ = 69400800. Its totient is φ = 4964352.

The previous prime is 20192633. The next prime is 20192677. The reversal of 20192640 is 4629102.

It is a tau number, because it is divible by the number of its divisors (128).

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 20192640.

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, 24556 + ... + 25364.

Almost surely, 220192640 is an apocalyptic number.

20192640 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 20192640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34700400).

20192640 is an abundant number, since it is smaller than the sum of its proper divisors (49208160).

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

20192640 is a wasteful number, since it uses less digits than its factorization.

20192640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 20192640 is about 4493.6221469990. The cubic root of 20192640 is about 272.3104874282.

The spelling of 20192640 in words is "twenty million, one hundred ninety-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 260 312 320 384 390 416 480 520 624 640 780 809 832 960 1040 1248 1560 1618 1664 1920 2080 2427 2496 3120 3236 4045 4160 4854 4992 6240 6472 8090 8320 9708 10517 12135 12480 12944 16180 19416 21034 24270 24960 25888 31551 32360 38832 42068 48540 51776 52585 63102 64720 77664 84136 97080 103552 105170 126204 129440 155328 157755 168272 194160 210340 252408 258880 310656 315510 336544 388320 420680 504816 517760 631020 673088 776640 841360 1009632 1262040 1346176 1553280 1682720 2019264 2524080 3365440 4038528 5048160 6730880 10096320 20192640