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95998140 = 223257611249
BaseRepresentation
bin1011011100011…
…01000010111100
320200122012200200
411232031002330
5144033420030
613305323500
72243653650
oct556150274
9220565620
1095998140
114a208907
1228196590
1316b72144
14ca6ca60
158663d60
hex5b8d0bc

95998140 has 144 divisors (see below), whose sum is σ = 338520000. Its totient is φ = 21565440.

The previous prime is 95998129. The next prime is 95998151. The reversal of 95998140 is 4189959.

It is an interprime number because it is at equal distance from previous prime (95998129) and next prime (95998151).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 76236 + ... + 77484.

Almost surely, 295998140 is an apocalyptic number.

95998140 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 95998140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169260000).

95998140 is an abundant number, since it is smaller than the sum of its proper divisors (242521860).

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

95998140 is a wasteful number, since it uses less digits than its factorization.

95998140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 95998140 is about 9797.8640529454. The cubic root of 95998140 is about 457.8827398238.

It can be divided in two parts, 959 and 98140, that added together give a palindrome (99099).

The spelling of 95998140 in words is "ninety-five million, nine hundred ninety-eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 61 63 70 84 90 105 122 126 140 180 183 210 244 252 305 315 366 420 427 549 610 630 732 854 915 1098 1220 1249 1260 1281 1708 1830 2135 2196 2498 2562 2745 3660 3747 3843 4270 4996 5124 5490 6245 6405 7494 7686 8540 8743 10980 11241 12490 12810 14988 15372 17486 18735 19215 22482 24980 25620 26229 34972 37470 38430 43715 44964 52458 56205 74940 76189 76860 78687 87430 104916 112410 131145 152378 157374 174860 224820 228567 262290 304756 314748 380945 393435 457134 524580 533323 685701 761890 786870 914268 1066646 1142835 1371402 1523780 1573740 1599969 2133292 2285670 2666615 2742804 3199938 3428505 4571340 4799907 5333230 6399876 6857010 7999845 9599814 10666460 13714020 15999690 19199628 23999535 31999380 47999070 95998140