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145649364 = 223721913037
BaseRepresentation
bin10001010111001…
…10111011010100
3101011001202100220
420223212323110
5244241234424
622241434340
73415666500
oct1053467324
9334052326
10145649364
1175240583
124093b9b0
1324237873
14154b5300
15cbc0579
hex8ae6ed4

145649364 has 72 divisors (see below), whose sum is σ = 416172960. Its totient is φ = 39420864.

The previous prime is 145649351. The next prime is 145649393. The reversal of 145649364 is 463946541.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4654 + ... + 17690.

It is an arithmetic number, because the mean of its divisors is an integer number (5780180).

Almost surely, 2145649364 is an apocalyptic number.

145649364 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145649364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208086480).

145649364 is an abundant number, since it is smaller than the sum of its proper divisors (270523596).

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

145649364 is a wasteful number, since it uses less digits than its factorization.

145649364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13077 (or 13068 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The square root of 145649364 is about 12068.5278306842. The cubic root of 145649364 is about 526.1418701977.

The spelling of 145649364 in words is "one hundred forty-five million, six hundred forty-nine thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 49 57 76 84 98 114 133 147 196 228 266 294 399 532 588 798 931 1596 1862 2793 3724 5586 11172 13037 26074 39111 52148 78222 91259 156444 182518 247703 273777 365036 495406 547554 638813 743109 990812 1095108 1277626 1486218 1733921 1916439 2555252 2972436 3467842 3832878 5201763 6935684 7665756 10403526 12137447 20807052 24274894 36412341 48549788 72824682 145649364