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154740040 = 23572136073
BaseRepresentation
bin10010011100100…
…10010101001000
3101210011121102121
421032102111020
5304103140130
623204341024
73556161100
oct1116222510
9353147377
10154740040
117a38a534
12439a4774
132609b570
14167a0200
15d8b8d7a
hex9392548

154740040 has 96 divisors (see below), whose sum is σ = 436234680. Its totient is φ = 48964608.

The previous prime is 154740017. The next prime is 154740059. The reversal of 154740040 is 40047451.

It can be written as a sum of positive squares in 4 ways, for example, as 128913316 + 25826724 = 11354^2 + 5082^2 .

It is a junction number, because it is equal to n+sod(n) for n = 154739987 and 154740014.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 22444 + ... + 28516.

Almost surely, 2154740040 is an apocalyptic number.

154740040 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 154740040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218117340).

154740040 is an abundant number, since it is smaller than the sum of its proper divisors (281494640).

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

154740040 is a wasteful number, since it uses less digits than its factorization.

154740040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6111 (or 6100 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 25.

The square root of 154740040 is about 12439.4549719833. The cubic root of 154740040 is about 536.8680613593.

Adding to 154740040 its reverse (40047451), we get a palindrome (194787491).

The spelling of 154740040 in words is "one hundred fifty-four million, seven hundred forty thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 49 52 56 65 70 91 98 104 130 140 182 196 245 260 280 364 392 455 490 520 637 728 910 980 1274 1820 1960 2548 3185 3640 5096 6073 6370 12146 12740 24292 25480 30365 42511 48584 60730 78949 85022 121460 157898 170044 212555 242920 297577 315796 340088 394745 425110 552643 595154 631592 789490 850220 1105286 1190308 1487885 1578980 1700440 2210572 2380616 2763215 2975770 3157960 3868501 4421144 5526430 5951540 7737002 11052860 11903080 15474004 19342505 22105720 30948008 38685010 77370020 154740040