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30468120 = 2335253901
BaseRepresentation
bin111010000111…
…0100000011000
32010022221101220
41310032200120
530244434440
63005012040
7516655224
oct164164030
963287356
1030468120
1116220171
12a254020
13640a097
144091784
152a1c8d0
hex1d0e818

30468120 has 32 divisors (see below), whose sum is σ = 91404720. Its totient is φ = 8124800.

The previous prime is 30468107. The next prime is 30468149. The reversal of 30468120 is 2186403.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126831 + ... + 127070.

Almost surely, 230468120 is an apocalyptic number.

30468120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30468120 is an abundant number, since it is smaller than the sum of its proper divisors (60936600).

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

30468120 is a wasteful number, since it uses less digits than its factorization.

30468120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253915 (or 253911 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 30468120 is about 5519.7934743974. The cubic root of 30468120 is about 312.3310916537.

The spelling of 30468120 in words is "thirty million, four hundred sixty-eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 253901 507802 761703 1015604 1269505 1523406 2031208 2539010 3046812 3808515 5078020 6093624 7617030 10156040 15234060 30468120