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95008140 = 22355113173
BaseRepresentation
bin1011010100110…
…11010110001100
320121202220200000
411222123112030
5143310230030
613232204300
72232361443
oct552332614
9217686600
1095008140
11496a2027
1227999690
13168b6646
14c891d5a
15851a860
hex5a9b58c

95008140 has 144 divisors (see below), whose sum is σ = 303252768. Its totient is φ = 24966144.

The previous prime is 95008139. The next prime is 95008157. The reversal of 95008140 is 4180059.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 549094 + ... + 549266.

It is an arithmetic number, because the mean of its divisors is an integer number (2105922).

Almost surely, 295008140 is an apocalyptic number.

95008140 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95008140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151626384).

95008140 is an abundant number, since it is smaller than the sum of its proper divisors (208244628).

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

95008140 is a wasteful number, since it uses less digits than its factorization.

95008140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 95008140 is about 9747.2119090538. The cubic root of 95008140 is about 456.3032954568.

Adding to 95008140 its reverse (4180059), we get a palindrome (99188199).

The spelling of 95008140 in words is "ninety-five million, eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 113 135 162 173 180 226 243 270 324 339 346 405 452 486 519 540 565 678 692 810 865 972 1017 1038 1130 1215 1356 1557 1620 1695 1730 2034 2076 2260 2430 2595 3051 3114 3390 3460 4068 4671 4860 5085 5190 6102 6228 6780 7785 9153 9342 10170 10380 12204 14013 15255 15570 18306 18684 19549 20340 23355 27459 28026 30510 31140 36612 39098 42039 45765 46710 54918 56052 58647 61020 70065 78196 84078 91530 93420 97745 109836 117294 137295 140130 168156 175941 183060 195490 210195 234588 274590 280260 293235 351882 390980 420390 527823 549180 586470 703764 840780 879705 1055646 1172940 1583469 1759410 2111292 2639115 3166938 3518820 4750407 5278230 6333876 7917345 9500814 10556460 15834690 19001628 23752035 31669380 47504070 95008140