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16117380 = 223459949
BaseRepresentation
bin111101011110…
…111010000100
31010022211220000
4331132322010
513111224010
61333241300
7253665306
oct75367204
933284800
1016117380
119109254
125493230
133454116
1421d7976
1516357c0
hexf5ee84

16117380 has 60 divisors (see below), whose sum is σ = 50565900. Its totient is φ = 4297536.

The previous prime is 16117379. The next prime is 16117397. The reversal of 16117380 is 8371161.

It can be written as a sum of positive squares in 2 ways, for example, as 6081156 + 10036224 = 2466^2 + 3168^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3355 + ... + 6594.

It is an arithmetic number, because the mean of its divisors is an integer number (842765).

Almost surely, 216117380 is an apocalyptic number.

16117380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16117380 is an abundant number, since it is smaller than the sum of its proper divisors (34448520).

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

16117380 is a wasteful number, since it uses less digits than its factorization.

16117380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9970 (or 9959 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 16117380 is about 4014.6456879780. The cubic root of 16117380 is about 252.5989155961.

The spelling of 16117380 in words is "sixteen million, one hundred seventeen thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 9949 19898 29847 39796 49745 59694 89541 99490 119388 149235 179082 198980 268623 298470 358164 447705 537246 596940 805869 895410 1074492 1343115 1611738 1790820 2686230 3223476 4029345 5372460 8058690 16117380