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84674940 = 22357283347
BaseRepresentation
bin1010000110000…
…00100101111100
312220022221011220
411003000211330
5133134044230
612222513340
72045503500
oct503004574
9186287156
1084674940
1143884599
1224435850
131470921c
14b362300
157678d10
hex50c097c

84674940 has 144 divisors (see below), whose sum is σ = 279925632. Its totient is φ = 19065984.

The previous prime is 84674927. The next prime is 84674969. The reversal of 84674940 is 4947648.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 84674892 and 84674901.

It is a congruent number.

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, 243847 + ... + 244193.

It is an arithmetic number, because the mean of its divisors is an integer number (1943928).

Almost surely, 284674940 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 84674940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139962816).

84674940 is an abundant number, since it is smaller than the sum of its proper divisors (195250692).

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

84674940 is a wasteful number, since it uses less digits than its factorization.

84674940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 84674940 is about 9201.8987171127. The cubic root of 84674940 is about 439.1217675130.

The spelling of 84674940 in words is "eighty-four million, six hundred seventy-four thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 83 84 98 105 140 147 166 196 210 245 249 294 332 347 415 420 490 498 581 588 694 735 830 980 996 1041 1162 1245 1388 1470 1660 1735 1743 2082 2324 2429 2490 2905 2940 3470 3486 4067 4164 4858 4980 5205 5810 6940 6972 7287 8134 8715 9716 10410 11620 12145 12201 14574 16268 17003 17430 20335 20820 24290 24402 28801 29148 34006 34860 36435 40670 48580 48804 51009 57602 61005 68012 72870 81340 85015 86403 102018 115204 122010 144005 145740 170030 172806 201607 204036 244020 255045 288010 340060 345612 403214 432015 510090 576020 604821 806428 864030 1008035 1020180 1209642 1411249 1728060 2016070 2419284 2822498 3024105 4032140 4233747 5644996 6048210 7056245 8467494 12096420 14112490 16934988 21168735 28224980 42337470 84674940