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145353400 = 23521742751
BaseRepresentation
bin10001010100111…
…10101010111000
3101010111201101021
420222132222320
5244202302100
622231232224
73413324563
oct1052365270
9333451337
10145353400
1175059185
1240818674
1324162c3a
14154394da
15cb62a1a
hex8a9eab8

145353400 has 48 divisors (see below), whose sum is σ = 357834240. Its totient is φ = 54720000.

The previous prime is 145353371. The next prime is 145353409. The reversal of 145353400 is 4353541.

145353400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1453534002 = 42255221783120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145353409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17976 + ... + 24775.

It is an arithmetic number, because the mean of its divisors is an integer number (7454880).

Almost surely, 2145353400 is an apocalyptic number.

145353400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145353400 is an abundant number, since it is smaller than the sum of its proper divisors (212480840).

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

145353400 is a wasteful number, since it uses less digits than its factorization.

145353400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42784 (or 42775 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 145353400 is about 12056.2597848587. The cubic root of 145353400 is about 525.7852496978.

The spelling of 145353400 in words is "one hundred forty-five million, three hundred fifty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 3400 42751 85502 171004 213755 342008 427510 726767 855020 1068775 1453534 1710040 2137550 2907068 3633835 4275100 5814136 7267670 8550200 14535340 18169175 29070680 36338350 72676700 145353400