Search a number
-
+
150483840 = 2735136029
BaseRepresentation
bin10001111100000…
…11001110000000
3101111011101000120
420332003032000
5302010440330
622533220240
73505043253
oct1076031600
9344141016
10150483840
1177a42811
1242491680
132523b1c0
1415db309a
15d327c10
hex8f83380

150483840 has 128 divisors (see below), whose sum is σ = 516650400. Its totient is φ = 37036032.

The previous prime is 150483833. The next prime is 150483841. The reversal of 150483840 is 48384051.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1504838402 = 45290772202291200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150483841) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 21946 + ... + 27974.

Almost surely, 2150483840 is an apocalyptic number.

150483840 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 150483840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258325200).

150483840 is an abundant number, since it is smaller than the sum of its proper divisors (366166560).

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

150483840 is a wasteful number, since it uses less digits than its factorization.

150483840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6064 (or 6052 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 150483840 is about 12267.1854962742. The cubic root of 150483840 is about 531.8999566906.

The spelling of 150483840 in words is "one hundred fifty million, four hundred eighty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 260 312 320 384 390 416 480 520 624 640 780 832 960 1040 1248 1560 1664 1920 2080 2496 3120 4160 4992 6029 6240 8320 12058 12480 18087 24116 24960 30145 36174 48232 60290 72348 78377 90435 96464 120580 144696 156754 180870 192928 235131 241160 289392 313508 361740 385856 391885 470262 482320 578784 627016 723480 771712 783770 940524 964640 1157568 1175655 1254032 1446960 1567540 1881048 1929280 2315136 2351310 2508064 2893920 3135080 3762096 3858560 4702620 5016128 5787840 6270160 7524192 9405240 10032256 11575680 12540320 15048384 18810480 25080640 30096768 37620960 50161280 75241920 150483840