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96601140 = 22335172619
BaseRepresentation
bin1011100001000…
…00010000110100
320201202211212000
411300200100310
5144212214030
613330255300
72252044656
oct560402064
9221684760
1096601140
114a58a959
1228427530
131702374c
14cb886d6
158732860
hex5c20434

96601140 has 144 divisors (see below), whose sum is σ = 319771200. Its totient is φ = 24205824.

The previous prime is 96601129. The next prime is 96601151. The reversal of 96601140 is 4110669.

It is an interprime number because it is at equal distance from previous prime (96601129) and next prime (96601151).

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

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, 155751 + ... + 156369.

Almost surely, 296601140 is an apocalyptic number.

96601140 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 96601140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159885600).

96601140 is an abundant number, since it is smaller than the sum of its proper divisors (223170060).

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

96601140 is a wasteful number, since it uses less digits than its factorization.

96601140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 96601140 is about 9828.5878945045. The cubic root of 96601140 is about 458.8394500219.

The spelling of 96601140 in words is "ninety-six million, six hundred one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 85 90 102 108 135 153 170 180 204 255 270 289 306 340 459 510 540 578 612 619 765 867 918 1020 1156 1238 1445 1530 1734 1836 1857 2295 2476 2601 2890 3060 3095 3468 3714 4335 4590 5202 5571 5780 6190 7428 7803 8670 9180 9285 10404 10523 11142 12380 13005 15606 16713 17340 18570 21046 22284 26010 27855 31212 31569 33426 37140 39015 42092 52020 52615 55710 63138 66852 78030 83565 94707 105230 111420 126276 156060 157845 167130 178891 189414 210460 284121 315690 334260 357782 378828 473535 536673 568242 631380 715564 894455 947070 1073346 1136484 1420605 1610019 1788910 1894140 2146692 2683365 2841210 3220038 3577820 4830057 5366730 5682420 6440076 8050095 9660114 10733460 16100190 19320228 24150285 32200380 48300570 96601140