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130958850 = 235211139571
BaseRepresentation
bin1111100111001…
…00011000000010
3100010102101202210
413303210120002
5232011140400
620554522550
73150063141
oct763443002
9303371683
10130958850
1167a17360
1237a36456
1321193059
141356d758
15b76c950
hex7ce4602

130958850 has 96 divisors (see below), whose sum is σ = 357477120. Its totient is φ = 31464000.

The previous prime is 130958833. The next prime is 130958897. The reversal of 130958850 is 58859031.

It is a junction number, because it is equal to n+sod(n) for n = 130958799 and 130958808.

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, 229065 + ... + 229635.

It is an arithmetic number, because the mean of its divisors is an integer number (3723720).

Almost surely, 2130958850 is an apocalyptic number.

130958850 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 130958850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178738560).

130958850 is an abundant number, since it is smaller than the sum of its proper divisors (226518270).

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

130958850 is a wasteful number, since it uses less digits than its factorization.

130958850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 39.

The square root of 130958850 is about 11443.7253549707. The cubic root of 130958850 is about 507.8221239517.

It can be divided in two parts, 13095 and 8850, that added together give a triangular number (21945 = T209).

The spelling of 130958850 in words is "one hundred thirty million, nine hundred fifty-eight thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 139 150 165 275 278 330 417 550 571 695 825 834 1142 1390 1529 1650 1713 2085 2855 3058 3426 3475 4170 4587 5710 6281 6950 7645 8565 9174 10425 12562 14275 15290 17130 18843 20850 22935 28550 31405 37686 38225 42825 45870 62810 76450 79369 85650 94215 114675 157025 158738 188430 229350 238107 314050 396845 471075 476214 793690 873059 942150 1190535 1746118 1984225 2381070 2619177 3968450 4365295 5238354 5952675 8730590 11905350 13095885 21826475 26191770 43652950 65479425 130958850