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20093520 = 2435292887
BaseRepresentation
bin100110010100…
…1101001010000
31101210212010110
41030221221100
520120443040
61554401320
7332535456
oct114515120
941725113
1020093520
1110384617
126890240
134216b75
1429509d6
151b6d980
hex1329a50

20093520 has 80 divisors (see below), whose sum is σ = 64460160. Its totient is φ = 5171712.

The previous prime is 20093509. The next prime is 20093531. The reversal of 20093520 is 2539002.

It is an interprime number because it is at equal distance from previous prime (20093509) and next prime (20093531).

It is a tau number, because it is divible by the number of its divisors (80).

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, 5517 + ... + 8403.

It is an arithmetic number, because the mean of its divisors is an integer number (805752).

Almost surely, 220093520 is an apocalyptic number.

20093520 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 20093520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32230080).

20093520 is an abundant number, since it is smaller than the sum of its proper divisors (44366640).

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

20093520 is a wasteful number, since it uses less digits than its factorization.

20093520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2932 (or 2926 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 20093520 is about 4482.5796144631. The cubic root of 20093520 is about 271.8641911412.

The spelling of 20093520 in words is "twenty million, ninety-three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 580 696 870 1160 1392 1740 2320 2887 3480 5774 6960 8661 11548 14435 17322 23096 28870 34644 43305 46192 57740 69288 83723 86610 115480 138576 167446 173220 230960 251169 334892 346440 418615 502338 669784 692880 837230 1004676 1255845 1339568 1674460 2009352 2511690 3348920 4018704 5023380 6697840 10046760 20093520