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145202640 = 24351155001
BaseRepresentation
bin10001010011110…
…01110111010000
3101010020001120120
420221321313100
5244132441030
622224110240
73412126212
oct1051716720
9333201516
10145202640
1174a65990
1240765380
132410c42b
14153da5b2
15cb33010
hex8a79dd0

145202640 has 80 divisors (see below), whose sum is σ = 491057856. Its totient is φ = 35200000.

The previous prime is 145202633. The next prime is 145202641. The reversal of 145202640 is 46202541.

145202640 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 (80).

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

It is a self number, because there is not a number n which added to its sum of digits gives 145202640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145202641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24861 + ... + 30140.

Almost surely, 2145202640 is an apocalyptic number.

145202640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145202640 is an abundant number, since it is smaller than the sum of its proper divisors (345855216).

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

145202640 is a wasteful number, since it uses less digits than its factorization.

145202640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55028 (or 55022 counting only the distinct ones).

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

The square root of 145202640 is about 12050.0058091272. The cubic root of 145202640 is about 525.6034059861.

Subtracting from 145202640 its reverse (46202541), we obtain a palindrome (99000099).

The spelling of 145202640 in words is "one hundred forty-five million, two hundred two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 55001 110002 165003 220004 275005 330006 440008 550010 605011 660012 825015 880016 1100020 1210022 1320024 1650030 1815033 2200040 2420044 2640048 3025055 3300060 3630066 4400080 4840088 6050110 6600120 7260132 9075165 9680176 12100220 13200240 14520264 18150330 24200440 29040528 36300660 48400880 72601320 145202640