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147148950 = 235213591279
BaseRepresentation
bin10001100010101…
…01000010010110
3101020212221102010
420301111002112
5300132231300
622333525050
73434513454
oct1061250226
9336787363
10147148950
1176075203
1241343786
13246412b0
14157859d4
15cdb9a50
hex8c55096

147148950 has 96 divisors (see below), whose sum is σ = 399974400. Its totient is φ = 35579520.

The previous prime is 147148949. The next prime is 147148997. The reversal of 147148950 is 59841741.

147148950 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1471489502 = 43305626972205000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 147148899 and 147148908.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114411 + ... + 115689.

It is an arithmetic number, because the mean of its divisors is an integer number (4166400).

Almost surely, 2147148950 is an apocalyptic number.

147148950 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 147148950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199987200).

147148950 is an abundant number, since it is smaller than the sum of its proper divisors (252825450).

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

147148950 is a wasteful number, since it uses less digits than its factorization.

147148950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 147148950 is about 12130.4966922216. The cubic root of 147148950 is about 527.9414033343.

The spelling of 147148950 in words is "one hundred forty-seven million, one hundred forty-eight thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 59 65 75 78 118 130 150 177 195 295 325 354 390 590 650 767 885 975 1279 1475 1534 1770 1950 2301 2558 2950 3835 3837 4425 4602 6395 7670 7674 8850 11505 12790 16627 19175 19185 23010 31975 33254 38350 38370 49881 57525 63950 75461 83135 95925 99762 115050 150922 166270 191850 226383 249405 377305 415675 452766 498810 754610 831350 980993 1131915 1247025 1886525 1961986 2263830 2494050 2942979 3773050 4904965 5659575 5885958 9809930 11319150 14714895 24524825 29429790 49049650 73574475 147148950