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2420109900 = 2235521347163
BaseRepresentation
bin1001000000111111…
…1111001001001100
320020122212022200000
42100033333021030
514424022004100
61040051204300
7113654410665
oct22017771114
96218768600
102420109900
1110320a842a
125765a6690
132c750a0c0
1418d5b636c
15e26e9900
hex903ff24c

2420109900 has 432 divisors, whose sum is σ = 8705109504. Its totient is φ = 579467520.

The previous prime is 2420109899. The next prime is 2420109977. The reversal of 2420109900 is 99010242.

2420109900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 143 ways as a sum of consecutive naturals, for example, 14847219 + ... + 14847381.

Almost surely, 22420109900 is an apocalyptic number.

2420109900 is a gapful number since it is divisible by the number (20) 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 2420109900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4352554752).

2420109900 is an abundant number, since it is smaller than the sum of its proper divisors (6284999604).

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

2420109900 is a wasteful number, since it uses less digits than its factorization.

2420109900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 2420109900 is about 49194.6125099080. The cubic root of 2420109900 is about 1342.5950121576.

The spelling of 2420109900 in words is "two billion, four hundred twenty million, one hundred nine thousand, nine hundred".