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145377400 = 23527103841
BaseRepresentation
bin10001010101001…
…00100001111000
3101010112221022011
420222210201320
5244204034100
622231535304
73413454550
oct1052444170
9333487264
10145377400
1175075213
124082a534
1324170b3c
1415444160
15cb69bba
hex8aa4878

145377400 has 48 divisors (see below), whose sum is σ = 386292240. Its totient is φ = 49843200.

The previous prime is 145377391. The next prime is 145377433. The reversal of 145377400 is 4773541.

It is a super-2 number, since 2×1453774002 = 42269176861520000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50521 + ... + 53320.

It is an arithmetic number, because the mean of its divisors is an integer number (8047755).

Almost surely, 2145377400 is an apocalyptic number.

145377400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145377400 is an abundant number, since it is smaller than the sum of its proper divisors (240914840).

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

145377400 is a wasteful number, since it uses less digits than its factorization.

145377400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103864 (or 103855 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 31.

The square root of 145377400 is about 12057.2550773383. The cubic root of 145377400 is about 525.8141864170.

The spelling of 145377400 in words is "one hundred forty-five million, three hundred seventy-seven thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 103841 207682 415364 519205 726887 830728 1038410 1453774 2076820 2596025 2907548 3634435 4153640 5192050 5815096 7268870 10384100 14537740 18172175 20768200 29075480 36344350 72688700 145377400