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145387904 = 272953739
BaseRepresentation
bin10001010101001…
…11000110000000
3101010120110201012
420222213012000
5244204403104
622232100052
73413530304
oct1052470600
9333513635
10145387904
11750820a2
1240834628
132417585c
1415447d04
15cb6cd6e
hex8aa7180

145387904 has 64 divisors (see below), whose sum is σ = 305694000. Its totient is φ = 68769792.

The previous prime is 145387901. The next prime is 145387919. The reversal of 145387904 is 409783541.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1453879042 = 42275285259026432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145387901) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 196367 + ... + 197105.

Almost surely, 2145387904 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 145387904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152847000).

145387904 is an abundant number, since it is smaller than the sum of its proper divisors (160306096).

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

145387904 is an equidigital number, since it uses as much as digits as its factorization.

145387904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The square root of 145387904 is about 12057.6906578333. The cubic root of 145387904 is about 525.8268500524.

The spelling of 145387904 in words is "one hundred forty-five million, three hundred eighty-seven thousand, nine hundred four".

Divisors: 1 2 4 8 16 29 32 53 58 64 106 116 128 212 232 424 464 739 848 928 1478 1537 1696 1856 2956 3074 3392 3712 5912 6148 6784 11824 12296 21431 23648 24592 39167 42862 47296 49184 78334 85724 94592 98368 156668 171448 196736 313336 342896 626672 685792 1135843 1253344 1371584 2271686 2506688 2743168 4543372 5013376 9086744 18173488 36346976 72693952 145387904