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145198950 = 235213193919
BaseRepresentation
bin10001010011110…
…00111101100110
3101010012212111220
420221320331212
5244132331300
622224041210
73412112361
oct1051707546
9333185456
10145198950
1174a63136
1240763206
132410a850
14153d90d8
15cb31da0
hex8a78f66

145198950 has 96 divisors (see below), whose sum is σ = 408307200. Its totient is φ = 33851520.

The previous prime is 145198943. The next prime is 145198951. The reversal of 145198950 is 59891541.

It is a super-2 number, since 2×1451989502 = 42165470162205000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145198951) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35091 + ... + 39009.

It is an arithmetic number, because the mean of its divisors is an integer number (4253200).

Almost surely, 2145198950 is an apocalyptic number.

145198950 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 145198950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204153600).

145198950 is an abundant number, since it is smaller than the sum of its proper divisors (263108250).

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

145198950 is a wasteful number, since it uses less digits than its factorization.

145198950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3966 (or 3961 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 42.

The square root of 145198950 is about 12049.8526961951. The cubic root of 145198950 is about 525.5989536037.

The spelling of 145198950 in words is "one hundred forty-five million, one hundred ninety-eight thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 19 25 26 30 38 39 50 57 65 75 78 95 114 130 150 190 195 247 285 325 390 475 494 570 650 741 950 975 1235 1425 1482 1950 2470 2850 3705 3919 6175 7410 7838 11757 12350 18525 19595 23514 37050 39190 50947 58785 74461 97975 101894 117570 148922 152841 195950 223383 254735 293925 305682 372305 446766 509470 587850 744610 764205 967993 1116915 1273675 1528410 1861525 1935986 2233830 2547350 2903979 3723050 3821025 4839965 5584575 5807958 7642050 9679930 11169150 14519895 24199825 29039790 48399650 72599475 145198950