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95434020 = 2232511157307
BaseRepresentation
bin1011011000000…
…11010100100100
320122120112212100
411230003110210
5143412342040
613245252100
72236114203
oct554032444
9218515770
1095434020
1149962aa0
1227b64030
1316a05446
14c96323a
1585a1b30
hex5b03524

95434020 has 144 divisors (see below), whose sum is σ = 318846528. Its totient is φ = 22913280.

The previous prime is 95434007. The next prime is 95434033. The reversal of 95434020 is 2043459.

95434020 is a nontrivial binomial coefficient, being equal to C(13816, 2).

It is an interprime number because it is at equal distance from previous prime (95434007) and next prime (95434033).

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, 310707 + ... + 311013.

It is an arithmetic number, because the mean of its divisors is an integer number (2214212).

Almost surely, 295434020 is an apocalyptic number.

95434020 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

95434020 is the 13815-th triangular number and also the 6908-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95434020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159423264).

95434020 is an abundant number, since it is smaller than the sum of its proper divisors (223412508).

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

95434020 is a wasteful number, since it uses less digits than its factorization.

95434020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 95434020 is about 9769.0337290850. The cubic root of 95434020 is about 456.9840820443.

Adding to 95434020 its reverse (2043459), we get a palindrome (97477479).

The spelling of 95434020 in words is "ninety-five million, four hundred thirty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 157 165 180 198 220 307 314 330 396 471 495 614 628 660 785 921 942 990 1228 1413 1535 1570 1727 1842 1884 1980 2355 2763 2826 3070 3140 3377 3454 3684 4605 4710 5181 5526 5652 6140 6754 6908 7065 8635 9210 9420 10131 10362 11052 13508 13815 14130 15543 16885 17270 18420 20262 20724 25905 27630 28260 30393 31086 33770 34540 40524 48199 50655 51810 55260 60786 62172 67540 77715 96398 101310 103620 121572 144597 151965 155430 192796 202620 240995 289194 303930 310860 433791 481990 530189 578388 607860 722985 867582 963980 1060378 1445970 1590567 1735164 2120756 2168955 2650945 2891940 3181134 4337910 4771701 5301890 6362268 7952835 8675820 9543402 10603780 15905670 19086804 23858505 31811340 47717010 95434020