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102420300 = 223521971733
BaseRepresentation
bin1100001101011…
…00111101001100
321010201111020110
412012230331030
5202204422200
614055120020
72352362313
oct606547514
9233644213
10102420300
11528a4984
122a373010
13182b0338
14d86127a
158ed1b50
hex61acf4c

102420300 has 72 divisors (see below), whose sum is σ = 298012176. Its totient is φ = 27157760.

The previous prime is 102420277. The next prime is 102420319. The reversal of 102420300 is 3024201.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 58234 + ... + 59966.

It is an arithmetic number, because the mean of its divisors is an integer number (4139058).

Almost surely, 2102420300 is an apocalyptic number.

102420300 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 102420300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149006088).

102420300 is an abundant number, since it is smaller than the sum of its proper divisors (195591876).

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

102420300 is a wasteful number, since it uses less digits than its factorization.

102420300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1947 (or 1940 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 102420300 is about 10120.2914977781. The cubic root of 102420300 is about 467.8737514672.

Adding to 102420300 its reverse (3024201), we get a palindrome (105444501).

The spelling of 102420300 in words is "one hundred two million, four hundred twenty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 197 300 394 591 788 985 1182 1733 1970 2364 2955 3466 3940 4925 5199 5910 6932 8665 9850 10398 11820 14775 17330 19700 20796 25995 29550 34660 43325 51990 59100 86650 103980 129975 173300 259950 341401 519900 682802 1024203 1365604 1707005 2048406 3414010 4096812 5121015 6828020 8535025 10242030 17070050 20484060 25605075 34140100 51210150 102420300