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84997640 = 235713191229
BaseRepresentation
bin1010001000011…
…11011000001000
312220221022211202
411010033120020
5133224411030
612233443332
72051316350
oct504173010
9186838752
1084997640
1143a84a92
1224570548
13147c0080
14b407b60
1576de745
hex510f608

84997640 has 128 divisors (see below), whose sum is σ = 247968000. Its totient is φ = 25463808.

The previous prime is 84997631. The next prime is 84997657. The reversal of 84997640 is 4679948.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68546 + ... + 69774.

It is an arithmetic number, because the mean of its divisors is an integer number (1937250).

Almost surely, 284997640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84997640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123984000).

84997640 is an abundant number, since it is smaller than the sum of its proper divisors (162970360).

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

84997640 is a wasteful number, since it uses less digits than its factorization.

84997640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1279 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 47.

The square root of 84997640 is about 9219.4164674344. The cubic root of 84997640 is about 439.6788979554.

It can be divided in two parts, 849 and 97640, that added together give a palindrome (98489).

The spelling of 84997640 in words is "eighty-four million, nine hundred ninety-seven thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 19 20 26 28 35 38 40 52 56 65 70 76 91 95 104 130 133 140 152 182 190 247 260 266 280 364 380 455 494 520 532 665 728 760 910 988 1064 1229 1235 1330 1729 1820 1976 2458 2470 2660 3458 3640 4916 4940 5320 6145 6916 8603 8645 9832 9880 12290 13832 15977 17206 17290 23351 24580 31954 34412 34580 43015 46702 49160 63908 68824 69160 79885 86030 93404 111839 116755 127816 159770 163457 172060 186808 223678 233510 303563 319540 326914 344120 447356 467020 559195 607126 639080 653828 817285 894712 934040 1118390 1214252 1307656 1517815 1634570 2124941 2236780 2428504 3035630 3269140 4249882 4473560 6071260 6538280 8499764 10624705 12142520 16999528 21249410 42498820 84997640