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150113040 = 24357118123
BaseRepresentation
bin10001111001010…
…00101100010000
3101110110112101020
420330220230100
5301412104130
622521235440
73501640230
oct1074505420
9343415336
10150113040
117780a170
1242332b80
132513b4ac
1415d17cc0
15d2a2e10
hex8f28b10

150113040 has 160 divisors (see below), whose sum is σ = 580248576. Its totient is φ = 31188480.

The previous prime is 150113027. The next prime is 150113059. The reversal of 150113040 is 40311051.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 31 ways as a sum of consecutive naturals, for example, 14419 + ... + 22541.

Almost surely, 2150113040 is an apocalyptic number.

150113040 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 150113040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290124288).

150113040 is an abundant number, since it is smaller than the sum of its proper divisors (430135536).

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

150113040 is a wasteful number, since it uses less digits than its factorization.

150113040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8157 (or 8151 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 150113040 is about 12252.0626834831. The cubic root of 150113040 is about 531.4627209940.

Adding to 150113040 its reverse (40311051), we get a palindrome (190424091).

It can be divided in two parts, 1501 and 13040, that added together give a palindrome (14541).

The spelling of 150113040 in words is "one hundred fifty million, one hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 28 30 33 35 40 42 44 48 55 56 60 66 70 77 80 84 88 105 110 112 120 132 140 154 165 168 176 210 220 231 240 264 280 308 330 336 385 420 440 462 528 560 616 660 770 840 880 924 1155 1232 1320 1540 1680 1848 2310 2640 3080 3696 4620 6160 8123 9240 16246 18480 24369 32492 40615 48738 56861 64984 81230 89353 97476 113722 121845 129968 162460 170583 178706 194952 227444 243690 268059 284305 324920 341166 357412 389904 446765 454888 487380 536118 568610 625471 649840 682332 714824 852915 893530 909776 974760 1072236 1137220 1250942 1340295 1364664 1429648 1705830 1787060 1876413 1949520 2144472 2274440 2501884 2680590 2729328 3127355 3411660 3574120 3752826 4288944 4548880 5003768 5361180 6254710 6823320 7148240 7505652 9382065 10007536 10722360 12509420 13646640 15011304 18764130 21444720 25018840 30022608 37528260 50037680 75056520 150113040