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38013840 = 2433517599
BaseRepresentation
bin1001000100000…
…0101110010000
32122112022012000
42101000232100
534212420330
63434434000
7641053344
oct221005620
978468160
1038013840
111a5043a7
1210892900
137b4c7c7
145097624
15350d560
hex2440b90

38013840 has 80 divisors (see below), whose sum is σ = 130944000. Its totient is φ = 10136448.

The previous prime is 38013839. The next prime is 38013863. The reversal of 38013840 is 4831083.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 6640 + ... + 10959.

It is an arithmetic number, because the mean of its divisors is an integer number (1636800).

Almost surely, 238013840 is an apocalyptic number.

38013840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38013840 is an abundant number, since it is smaller than the sum of its proper divisors (92930160).

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

38013840 is a wasteful number, since it uses less digits than its factorization.

38013840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17621 (or 17609 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 38013840 is about 6165.5364730087. The cubic root of 38013840 is about 336.2383512868.

The spelling of 38013840 in words is "thirty-eight million, thirteen thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 17599 35198 52797 70396 87995 105594 140792 158391 175990 211188 263985 281584 316782 351980 422376 475173 527970 633564 703960 791955 844752 950346 1055940 1267128 1407920 1583910 1900692 2111880 2375865 2534256 3167820 3801384 4223760 4751730 6335640 7602768 9503460 12671280 19006920 38013840