Search a number
-
+
102954240 = 28355331
BaseRepresentation
bin1100010001011…
…11010100000000
321011201121200000
412020233110000
5202324013430
614114400000
72360045064
oct610572400
9234647600
10102954240
115312a054
122a590000
131843938c
14d95daa4
159089e60
hex622f500

102954240 has 216 divisors, whose sum is σ = 370519968. Its totient is φ = 27371520.

The previous prime is 102954211. The next prime is 102954251. The reversal of 102954240 is 42459201.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 310875 + ... + 311205.

Almost surely, 2102954240 is an apocalyptic number.

102954240 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 102954240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185259984).

102954240 is an abundant number, since it is smaller than the sum of its proper divisors (267565728).

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

102954240 is an frugal number, since it uses more digits than its factorization.

102954240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 102954240 is about 10146.6368812528. The cubic root of 102954240 is about 468.6853862939.

It can be divided in two parts, 10295 and 4240, that added together give a triangular number (14535 = T170).

The spelling of 102954240 in words is "one hundred two million, nine hundred fifty-four thousand, two hundred forty".