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150643400 = 235219291367
BaseRepresentation
bin10001111101010…
…10001011001000
3101111110110220012
420332222023020
5302031042100
622540451052
73506306405
oct1076521310
9344413805
10150643400
1178041686
1242549a88
1325295a0b
14160152ac
15d35a135
hex8faa2c8

150643400 has 96 divisors (see below), whose sum is σ = 381672000. Its totient is φ = 55077120.

The previous prime is 150643387. The next prime is 150643421. The reversal of 150643400 is 4346051.

150643400 = 17482 + 17492 + ... + 17952.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109517 + ... + 110883.

It is an arithmetic number, because the mean of its divisors is an integer number (3975750).

Almost surely, 2150643400 is an apocalyptic number.

150643400 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 150643400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190836000).

150643400 is an abundant number, since it is smaller than the sum of its proper divisors (231028600).

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

150643400 is a wasteful number, since it uses less digits than its factorization.

150643400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1431 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 150643400 is about 12273.6873025183. The cubic root of 150643400 is about 532.0878837984.

Adding to 150643400 its reverse (4346051), we get a palindrome (154989451).

The spelling of 150643400 in words is "one hundred fifty million, six hundred forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 29 38 40 50 58 76 95 100 116 145 152 190 200 232 290 380 475 551 580 725 760 950 1102 1160 1367 1450 1900 2204 2734 2755 2900 3800 4408 5468 5510 5800 6835 10936 11020 13670 13775 22040 25973 27340 27550 34175 39643 51946 54680 55100 68350 79286 103892 110200 129865 136700 158572 198215 207784 259730 273400 317144 396430 519460 649325 753217 792860 991075 1038920 1298650 1506434 1585720 1982150 2597300 3012868 3766085 3964300 5194600 6025736 7532170 7928600 15064340 18830425 30128680 37660850 75321700 150643400