Search a number
-
+
102989088 = 2532541661
BaseRepresentation
bin1100010001101…
…11110100100000
321011210101110200
412020313310200
5202331122323
614115225200
72360251506
oct610676440
9234711420
10102989088
1153153254
122a5a8200
131844c1b7
14d96c676
159095443
hex6237d20

102989088 has 72 divisors (see below), whose sum is σ = 293860476. Its totient is φ = 34214400.

The previous prime is 102989069. The next prime is 102989119. The reversal of 102989088 is 880989201.

It can be written as a sum of positive squares in 2 ways, for example, as 101848464 + 1140624 = 10092^2 + 1068^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 155478 + ... + 156138.

Almost surely, 2102989088 is an apocalyptic number.

102989088 is a gapful number since it is divisible by the number (18) 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 102989088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146930238).

102989088 is an abundant number, since it is smaller than the sum of its proper divisors (190871388).

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

102989088 is a wasteful number, since it uses less digits than its factorization.

102989088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The square root of 102989088 is about 10148.3539551988. The cubic root of 102989088 is about 468.7382606127.

The spelling of 102989088 in words is "one hundred two million, nine hundred eighty-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 541 661 1082 1322 1623 1983 2164 2644 3246 3966 4328 4869 5288 5949 6492 7932 8656 9738 10576 11898 12984 15864 17312 19476 21152 23796 25968 31728 38952 47592 51936 63456 77904 95184 155808 190368 357601 715202 1072803 1430404 2145606 2860808 3218409 4291212 5721616 6436818 8582424 11443232 12873636 17164848 25747272 34329696 51494544 102989088