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150910480 = 2457318693
BaseRepresentation
bin10001111111010…
…11011000010000
3101111222001021001
420333223120100
5302113113410
622550311344
73511501150
oct1077533020
9344861231
10150910480
1178204306
1242658554
132535a456
1416084760
15d3ae33a
hex8feb610

150910480 has 80 divisors (see below), whose sum is σ = 413973504. Its totient is φ = 50065920.

The previous prime is 150910477. The next prime is 150910481. The reversal of 150910480 is 84019051.

It is a happy number.

150910480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (150910481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13014 + ... + 21706.

Almost surely, 2150910480 is an apocalyptic number.

150910480 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 150910480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206986752).

150910480 is an abundant number, since it is smaller than the sum of its proper divisors (263063024).

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

150910480 is a wasteful number, since it uses less digits than its factorization.

150910480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8744 (or 8738 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 28.

The square root of 150910480 is about 12284.5626702785. The cubic root of 150910480 is about 532.4021494328.

The spelling of 150910480 in words is "one hundred fifty million, nine hundred ten thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 56 62 70 80 112 124 140 155 217 248 280 310 434 496 560 620 868 1085 1240 1736 2170 2480 3472 4340 8680 8693 17360 17386 34772 43465 60851 69544 86930 121702 139088 173860 243404 269483 304255 347720 486808 538966 608510 695440 973616 1077932 1217020 1347415 1886381 2155864 2434040 2694830 3772762 4311728 4868080 5389660 7545524 9431905 10779320 15091048 18863810 21558640 30182096 37727620 75455240 150910480