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16238640 = 2435116151
BaseRepresentation
bin111101111100…
…100000110000
31010120000020010
4331330200300
513124114030
61340014520
7255011655
oct75744060
933500203
1016238640
119191370
125531440
133497382
142229c2c
15165b6b0
hexf7c830

16238640 has 80 divisors (see below), whose sum is σ = 54925056. Its totient is φ = 3936000.

The previous prime is 16238639. The next prime is 16238657. The reversal of 16238640 is 4683261.

16238640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 16238598 and 16238607.

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, 436 + ... + 5715.

Almost surely, 216238640 is an apocalyptic number.

16238640 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 16238640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27462528).

16238640 is an abundant number, since it is smaller than the sum of its proper divisors (38686416).

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

16238640 is a wasteful number, since it uses less digits than its factorization.

16238640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6178 (or 6172 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 16238640 is about 4029.7195932223. The cubic root of 16238640 is about 253.2308141659.

The spelling of 16238640 in words is "sixteen million, two hundred thirty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 6151 12302 18453 24604 30755 36906 49208 61510 67661 73812 92265 98416 123020 135322 147624 184530 202983 246040 270644 295248 338305 369060 405966 492080 541288 676610 738120 811932 1014915 1082576 1353220 1476240 1623864 2029830 2706440 3247728 4059660 5412880 8119320 16238640