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145408 = 21171
BaseRepresentation
bin100011100000000000
321101110111
4203200000
514123113
63041104
71143634
oct434000
9241414
10145408
119a27a
1270194
1351253
143adc4
152d13d
hex23800

145408 has 24 divisors (see below), whose sum is σ = 294840. Its totient is φ = 71680.

The previous prime is 145399. The next prime is 145417. The reversal of 145408 is 804541.

It is an interprime number because it is at equal distance from previous prime (145399) and next prime (145417).

It is a super-2 number, since 2×1454082 = 42286972928, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

145408 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2013 + ... + 2083.

It is an arithmetic number, because the mean of its divisors is an integer number (12285).

2145408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147420).

145408 is an abundant number, since it is smaller than the sum of its proper divisors (149432).

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

145408 is an frugal number, since it uses more digits than its factorization.

145408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 145408 is about 381.3240092100. The cubic root of 145408 is about 52.5851076115.

Adding to 145408 its reverse (804541), we get a palindrome (949949).

The spelling of 145408 in words is "one hundred forty-five thousand, four hundred eight".

Divisors: 1 2 4 8 16 32 64 71 128 142 256 284 512 568 1024 1136 2048 2272 4544 9088 18176 36352 72704 145408