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154013040 = 24325409523
BaseRepresentation
bin10010010111000…
…00110101110000
3101201210200011200
421023200311300
5303411404130
623141011200
73550042416
oct1113406560
9351720150
10154013040
1179a33305
12436b3b00
1325ba569c
14166512b6
15d7c3760
hex92e0d70

154013040 has 120 divisors (see below), whose sum is σ = 519483120. Its totient is φ = 40891392.

The previous prime is 154013033. The next prime is 154013099. The reversal of 154013040 is 40310451.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 294219 + ... + 294741.

It is an arithmetic number, because the mean of its divisors is an integer number (4329026).

Almost surely, 2154013040 is an apocalyptic number.

154013040 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 154013040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259741560).

154013040 is an abundant number, since it is smaller than the sum of its proper divisors (365470080).

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

154013040 is a wasteful number, since it uses less digits than its factorization.

154013040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 154013040 is about 12410.1990314418. The cubic root of 154013040 is about 536.0259696335.

Adding to 154013040 its reverse (40310451), we get a palindrome (194323491).

The spelling of 154013040 in words is "one hundred fifty-four million, thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 409 523 720 818 1046 1227 1569 1636 2045 2092 2454 2615 3138 3272 3681 4090 4184 4707 4908 5230 6135 6276 6544 7362 7845 8180 8368 9414 9816 10460 12270 12552 14724 15690 16360 18405 18828 19632 20920 23535 24540 25104 29448 31380 32720 36810 37656 41840 47070 49080 58896 62760 73620 75312 94140 98160 125520 147240 188280 213907 294480 376560 427814 641721 855628 1069535 1283442 1711256 1925163 2139070 2566884 3208605 3422512 3850326 4278140 5133768 6417210 7700652 8556280 9625815 10267536 12834420 15401304 17112560 19251630 25668840 30802608 38503260 51337680 77006520 154013040