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150693240 = 23352371769
BaseRepresentation
bin10001111101101…
…10010101111000
3101111120000021010
420332312111320
5302034140430
622541513520
73506604615
oct1076662570
9344500233
10150693240
1178076075
12425728a0
13252b25c9
141602950c
15d369cb0
hex8fb6578

150693240 has 128 divisors (see below), whose sum is σ = 479001600. Its totient is φ = 37847040.

The previous prime is 150693197. The next prime is 150693259. The reversal of 150693240 is 42396051.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 150693198 and 150693207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195576 + ... + 196344.

It is an arithmetic number, because the mean of its divisors is an integer number (3742200).

Almost surely, 2150693240 is an apocalyptic number.

150693240 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 150693240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239500800).

150693240 is an abundant number, since it is smaller than the sum of its proper divisors (328308360).

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

150693240 is a wasteful number, since it uses less digits than its factorization.

150693240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 150693240 is about 12275.7174943056. The cubic root of 150693240 is about 532.1465573194.

The spelling of 150693240 in words is "one hundred fifty million, six hundred ninety-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 71 92 115 120 138 142 184 213 230 276 284 345 355 426 460 552 568 690 710 769 852 920 1065 1380 1420 1538 1633 1704 2130 2307 2760 2840 3076 3266 3845 4260 4614 4899 6152 6532 7690 8165 8520 9228 9798 11535 13064 15380 16330 17687 18456 19596 23070 24495 30760 32660 35374 39192 46140 48990 53061 54599 65320 70748 88435 92280 97980 106122 109198 141496 163797 176870 195960 212244 218396 265305 272995 327594 353740 424488 436792 530610 545990 655188 707480 818985 1061220 1091980 1255777 1310376 1637970 2122440 2183960 2511554 3275940 3767331 5023108 6278885 6551880 7534662 10046216 12557770 15069324 18836655 25115540 30138648 37673310 50231080 75346620 150693240