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100160060 = 225711135003
BaseRepresentation
bin1011111100001…
…01001000111100
320222110122202212
411332011020330
5201120110220
613534435552
72324226560
oct576051074
9228418685
10100160060
11515a0810
1229662bb8
131799b610
14d4336a0
158bd70c5
hex5f8523c

100160060 has 96 divisors (see below), whose sum is σ = 282465792. Its totient is φ = 28811520.

The previous prime is 100160051. The next prime is 100160069. The reversal of 100160060 is 60061001.

It is an interprime number because it is at equal distance from previous prime (100160051) and next prime (100160069).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100160069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17519 + ... + 22521.

It is an arithmetic number, because the mean of its divisors is an integer number (2942352).

Almost surely, 2100160060 is an apocalyptic number.

100160060 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 100160060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141232896).

100160060 is an abundant number, since it is smaller than the sum of its proper divisors (182305732).

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

100160060 is a wasteful number, since it uses less digits than its factorization.

100160060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5043 (or 5041 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 100160060 is about 10007.9998001599. Note that the first 3 decimals coincide. The cubic root of 100160060 is about 464.4063955884.

The spelling of 100160060 in words is "one hundred million, one hundred sixty thousand, sixty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 715 770 910 1001 1430 1540 1820 2002 2860 4004 5003 5005 10006 10010 20012 20020 25015 35021 50030 55033 65039 70042 100060 110066 130078 140084 175105 220132 260156 275165 325195 350210 385231 455273 550330 650390 700420 715429 770462 910546 1100660 1300780 1430858 1540924 1821092 1926155 2276365 2861716 3577145 3852310 4552730 5008003 7154290 7704620 9105460 10016006 14308580 20032012 25040015 50080030 100160060