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145401840 = 24325201947
BaseRepresentation
bin10001010101010…
…10011111110000
3101010121011211100
420222222133300
5244210324330
622232244400
73413616033
oct1052523760
9333534740
10145401840
1175091611
1240840700
132417bcbc
141544d01a
15cb72060
hex8aaa7f0

145401840 has 60 divisors (see below), whose sum is σ = 488310264. Its totient is φ = 38773632.

The previous prime is 145401803. The next prime is 145401847. The reversal of 145401840 is 48104541.

It is a happy number.

145401840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×1454018402 = 42283390150771200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145401847) 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, 100254 + ... + 101693.

Almost surely, 2145401840 is an apocalyptic number.

145401840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145401840 is an abundant number, since it is smaller than the sum of its proper divisors (342908424).

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

145401840 is a wasteful number, since it uses less digits than its factorization.

145401840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201966 (or 201957 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 145401840 is about 12058.2685324221. The cubic root of 145401840 is about 525.8436503700.

The spelling of 145401840 in words is "one hundred forty-five million, four hundred one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 201947 403894 605841 807788 1009735 1211682 1615576 1817523 2019470 2423364 3029205 3231152 3635046 4038940 4846728 6058410 7270092 8077880 9087615 9693456 12116820 14540184 16155760 18175230 24233640 29080368 36350460 48467280 72700920 145401840