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2406900 = 2235271113
BaseRepresentation
bin1001001011100111110100
311112021122110
421023213310
51104010100
6123331020
726313126
oct11134764
94467573
102406900
1113a4381
12980a70
13663702
14469216
15328250
hex24b9f4

2406900 has 72 divisors (see below), whose sum is σ = 7124544. Its totient is φ = 627200.

The previous prime is 2406851. The next prime is 2406919. The reversal of 2406900 is 96042.

2406900 = T44 + T45 + ... + T243.

It is a super-2 number, since 2×24069002 = 11586335220000, which contains 22 as substring.

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, 21244 + ... + 21356.

It is an arithmetic number, because the mean of its divisors is an integer number (98952).

22406900 is an apocalyptic number.

2406900 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 2406900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3562272).

2406900 is an abundant number, since it is smaller than the sum of its proper divisors (4717644).

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

2406900 is a wasteful number, since it uses less digits than its factorization.

2406900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 2406900 is about 1551.4187055724. The cubic root of 2406900 is about 134.0147752327.

It can be divided in two parts, 240 and 6900, that added together give a triangular number (7140 = T119).

The spelling of 2406900 in words is "two million, four hundred six thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 71 75 100 113 142 150 213 226 284 300 339 355 426 452 565 678 710 852 1065 1130 1356 1420 1695 1775 2130 2260 2825 3390 3550 4260 5325 5650 6780 7100 8023 8475 10650 11300 16046 16950 21300 24069 32092 33900 40115 48138 80230 96276 120345 160460 200575 240690 401150 481380 601725 802300 1203450 2406900