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145611340 = 22572314793
BaseRepresentation
bin10001010110111…
…01101001001100
3101010222211012121
420223131221030
5244234030330
622240542324
73415450600
oct1053355114
9333884177
10145611340
1175214a56
12409219a4
1324223474
14154a5500
15cbb417a
hex8adda4c

145611340 has 72 divisors (see below), whose sum is σ = 367258752. Its totient is φ = 48303360.

The previous prime is 145611337. The next prime is 145611353. The reversal of 145611340 is 43116541.

145611340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 27984 + ... + 32776.

It is an arithmetic number, because the mean of its divisors is an integer number (5100816).

Almost surely, 2145611340 is an apocalyptic number.

145611340 is a gapful number since it is divisible by the number (10) 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 145611340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183629376).

145611340 is an abundant number, since it is smaller than the sum of its proper divisors (221647412).

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

145611340 is a wasteful number, since it uses less digits than its factorization.

145611340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4847 (or 4838 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 145611340 is about 12066.9523907240. The cubic root of 145611340 is about 526.0960804116.

Adding to 145611340 its reverse (43116541), we get a palindrome (188727881).

The spelling of 145611340 in words is "one hundred forty-five million, six hundred eleven thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 49 62 70 98 124 140 155 196 217 245 310 434 490 620 868 980 1085 1519 2170 3038 4340 4793 6076 7595 9586 15190 19172 23965 30380 33551 47930 67102 95860 134204 148583 167755 234857 297166 335510 469714 594332 671020 742915 939428 1040081 1174285 1485830 2080162 2348570 2971660 4160324 4697140 5200405 7280567 10400810 14561134 20801620 29122268 36402835 72805670 145611340