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150463104 = 27311179199
BaseRepresentation
bin10001111011111…
…10001010000000
3101111010022120120
420331332022000
5302004304404
622532540240
73504625641
oct1075761200
9344108516
10150463104
1177a29180
1242481680
132523192c
1415da96c8
15d3219d9
hex8f7e280

150463104 has 128 divisors (see below), whose sum is σ = 440640000. Its totient is φ = 45112320.

The previous prime is 150463097. The next prime is 150463111. The reversal of 150463104 is 401364051.

It is an interprime number because it is at equal distance from previous prime (150463097) and next prime (150463111).

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

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 755997 + ... + 756195.

It is an arithmetic number, because the mean of its divisors is an integer number (3442500).

Almost surely, 2150463104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150463104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220320000).

150463104 is an abundant number, since it is smaller than the sum of its proper divisors (290176896).

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

150463104 is a wasteful number, since it uses less digits than its factorization.

150463104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 150463104 is about 12266.3402855130. The cubic root of 150463104 is about 531.8755244234.

The spelling of 150463104 in words is "one hundred fifty million, four hundred sixty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 179 192 199 264 352 358 384 398 528 537 597 704 716 796 1056 1074 1194 1408 1432 1592 1969 2112 2148 2189 2388 2864 3184 3938 4224 4296 4378 4776 5728 5907 6368 6567 7876 8592 8756 9552 11456 11814 12736 13134 15752 17184 17512 19104 22912 23628 25472 26268 31504 34368 35024 35621 38208 47256 52536 63008 68736 70048 71242 76416 94512 105072 106863 126016 140096 142484 189024 210144 213726 252032 280192 284968 378048 391831 420288 427452 569936 756096 783662 840576 854904 1139872 1175493 1567324 1709808 2279744 2350986 3134648 3419616 4559488 4701972 6269296 6839232 9403944 12538592 13678464 18807888 25077184 37615776 50154368 75231552 150463104