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13721840 = 2451131503
BaseRepresentation
bin110100010110…
…000011110000
3221211010211022
4310112003300
512003044330
61210035012
7224430236
oct64260360
927733738
1013721840
117822470
124718a68
132ac5942
141b72956
151310ae5
hexd160f0

13721840 has 80 divisors (see below), whose sum is σ = 35997696. Its totient is φ = 4819200.

The previous prime is 13721837. The next prime is 13721849. The reversal of 13721840 is 4812731.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13721849) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27029 + ... + 27531.

Almost surely, 213721840 is an apocalyptic number.

13721840 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 13721840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17998848).

13721840 is an abundant number, since it is smaller than the sum of its proper divisors (22275856).

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

13721840 is a wasteful number, since it uses less digits than its factorization.

13721840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 13721840 is about 3704.3002038172. The cubic root of 13721840 is about 239.4073339466.

The spelling of 13721840 in words is "thirteen million, seven hundred twenty-one thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 40 44 55 62 80 88 110 124 155 176 220 248 310 341 440 496 503 620 682 880 1006 1240 1364 1705 2012 2480 2515 2728 3410 4024 5030 5456 5533 6820 8048 10060 11066 13640 15593 20120 22132 27280 27665 31186 40240 44264 55330 62372 77965 88528 110660 124744 155930 171523 221320 249488 311860 343046 442640 623720 686092 857615 1247440 1372184 1715230 2744368 3430460 6860920 13721840