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145414320 = 2435605893
BaseRepresentation
bin10001010101011…
…01100010110000
3101010121210221120
420222231202300
5244211224240
622232422240
73414000312
oct1052554260
9333553846
10145414320
117509aa27
1240847980
132418489c
14154537b2
15cb75ad0
hex8aad8b0

145414320 has 40 divisors (see below), whose sum is σ = 450785136. Its totient is φ = 38777088.

The previous prime is 145414309. The next prime is 145414333. The reversal of 145414320 is 23414541.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1454143202 = 42290648922124800, which contains 22 as substring.

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

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, 302707 + ... + 303186.

Almost surely, 2145414320 is an apocalyptic number.

145414320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145414320 is an abundant number, since it is smaller than the sum of its proper divisors (305370816).

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

145414320 is a wasteful number, since it uses less digits than its factorization.

145414320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605909 (or 605903 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 145414320 is about 12058.7860085499. The cubic root of 145414320 is about 525.8586945194.

Adding to 145414320 its reverse (23414541), we get a palindrome (168828861).

The spelling of 145414320 in words is "one hundred forty-five million, four hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 605893 1211786 1817679 2423572 3029465 3635358 4847144 6058930 7270716 9088395 9694288 12117860 14541432 18176790 24235720 29082864 36353580 48471440 72707160 145414320