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150430350 = 23527236229
BaseRepresentation
bin10001111011101…
…10001010001110
3101111001122122110
420331312022032
5302002232400
622532124450
73504431310
oct1075661216
9344048573
10150430350
1177a06604
1242466726
132521ca55
1415d9b7b0
15d316e50
hex8f7628e

150430350 has 96 divisors (see below), whose sum is σ = 444971520. Its totient is φ = 32883840.

The previous prime is 150430349. The next prime is 150430361. The reversal of 150430350 is 53034051.

It is a super-2 number, since 2×1504303502 = 45258580402245000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21036 + ... + 27264.

It is an arithmetic number, because the mean of its divisors is an integer number (4635120).

Almost surely, 2150430350 is an apocalyptic number.

150430350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 150430350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222485760).

150430350 is an abundant number, since it is smaller than the sum of its proper divisors (294541170).

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

150430350 is a wasteful number, since it uses less digits than its factorization.

150430350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6274 (or 6269 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 150430350 is about 12265.0050958000. The cubic root of 150430350 is about 531.8369273305.

The spelling of 150430350 in words is "one hundred fifty million, four hundred thirty thousand, three hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 25 30 35 42 46 50 69 70 75 105 115 138 150 161 175 210 230 322 345 350 483 525 575 690 805 966 1050 1150 1610 1725 2415 3450 4025 4830 6229 8050 12075 12458 18687 24150 31145 37374 43603 62290 87206 93435 130809 143267 155725 186870 218015 261618 286534 311450 429801 436030 467175 654045 716335 859602 934350 1002869 1090075 1308090 1432670 2005738 2149005 2180150 3008607 3270225 3581675 4298010 5014345 6017214 6540450 7163350 10028690 10745025 15043035 21490050 25071725 30086070 50143450 75215175 150430350