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16642240 = 265131397
BaseRepresentation
bin111111011111…
…000011000000
31011022111212021
4333133003000
513230022430
61352411224
7261312436
oct77370300
934274767
1016642240
11943761a
1256a6b14
1335a8ca4
1422d2d56
1516db07a
hexfdf0c0

16642240 has 56 divisors (see below), whose sum is σ = 40032432. Its totient is φ = 6589440.

The previous prime is 16642237. The next prime is 16642243. The reversal of 16642240 is 4224661.

16642240 = T149 + T150 + ... + T468.

It is an interprime number because it is at equal distance from previous prime (16642237) and next prime (16642243).

It is not an unprimeable number, because it can be changed into a prime (16642243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41722 + ... + 42118.

Almost surely, 216642240 is an apocalyptic number.

16642240 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 16642240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20016216).

16642240 is an abundant number, since it is smaller than the sum of its proper divisors (23390192).

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

16642240 is a wasteful number, since it uses less digits than its factorization.

16642240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 16642240 is about 4079.4901642240. The cubic root of 16642240 is about 255.3116272173.

The spelling of 16642240 in words is "sixteen million, six hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 131 160 262 320 397 524 655 794 1048 1310 1588 1985 2096 2620 3176 3970 4192 5240 6352 7940 8384 10480 12704 15880 20960 25408 31760 41920 52007 63520 104014 127040 208028 260035 416056 520070 832112 1040140 1664224 2080280 3328448 4160560 8321120 16642240