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145240440 = 23357117047
BaseRepresentation
bin10001010100000…
…11000101111000
3101010021222102120
420222003011320
5244140143230
622225001240
73412344342
oct1052030570
9333258376
10145240440
1174a91324
1240783220
13241236b7
141540a292
15cb3e310
hex8a83178

145240440 has 64 divisors (see below), whose sum is σ = 441884160. Its totient is φ = 38183040.

The previous prime is 145240379. The next prime is 145240441. The reversal of 145240440 is 44042541.

It is a happy number.

145240440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1452404402 = 42189570822787200, which contains 22 as substring.

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 145240440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145240441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4 + ... + 17043.

It is an arithmetic number, because the mean of its divisors is an integer number (6904440).

Almost surely, 2145240440 is an apocalyptic number.

145240440 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 145240440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220942080).

145240440 is an abundant number, since it is smaller than the sum of its proper divisors (296643720).

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

145240440 is a wasteful number, since it uses less digits than its factorization.

145240440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17132 (or 17128 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 145240440 is about 12051.5741710367. The cubic root of 145240440 is about 525.6490114125.

Adding to 145240440 its reverse (44042541), we get a palindrome (189282981).

The spelling of 145240440 in words is "one hundred forty-five million, two hundred forty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 120 142 213 284 355 426 568 710 852 1065 1420 1704 2130 2840 4260 8520 17047 34094 51141 68188 85235 102282 136376 170470 204564 255705 340940 409128 511410 681880 1022820 1210337 2045640 2420674 3631011 4841348 6051685 7262022 9682696 12103370 14524044 18155055 24206740 29048088 36310110 48413480 72620220 145240440