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150730840 = 2351317359
BaseRepresentation
bin10001111101111…
…11100001011000
3101111121220211201
420332333201120
5302041341330
622542403544
73510122341
oct1076774130
9344556751
10150730840
11780a1347
12425905b4
13252c6760
14160390c8
15d375eca
hex8fbf858

150730840 has 128 divisors (see below), whose sum is σ = 394632000. Its totient is φ = 51492864.

The previous prime is 150730837. The next prime is 150730841. The reversal of 150730840 is 48037051.

It is a super-2 number, since 2×1507308402 = 45439572254211200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 150730799 and 150730808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150730841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2554731 + ... + 2554789.

Almost surely, 2150730840 is an apocalyptic number.

150730840 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 150730840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197316000).

150730840 is an abundant number, since it is smaller than the sum of its proper divisors (243901160).

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

150730840 is a wasteful number, since it uses less digits than its factorization.

150730840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 150730840 is about 12277.2488774969. The cubic root of 150730840 is about 532.1908128915.

Adding to 150730840 its reverse (48037051), we get a palindrome (198767891).

The spelling of 150730840 in words is "one hundred fifty million, seven hundred thirty thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 59 65 68 85 104 118 130 136 170 221 236 260 289 295 340 442 472 520 578 590 680 767 884 1003 1105 1156 1180 1445 1534 1768 2006 2210 2312 2360 2890 3068 3757 3835 4012 4420 4913 5015 5780 6136 7514 7670 8024 8840 9826 10030 11560 13039 15028 15340 17051 18785 19652 20060 24565 26078 30056 30680 34102 37570 39304 40120 49130 52156 63869 65195 68204 75140 85255 98260 104312 127738 130390 136408 150280 170510 196520 221663 255476 260780 289867 319345 341020 443326 510952 521560 579734 638690 682040 886652 1108315 1159468 1277380 1449335 1773304 2216630 2318936 2554760 2898670 3768271 4433260 5797340 7536542 8866520 11594680 15073084 18841355 30146168 37682710 75365420 150730840