Search a number
-
+
84173964 = 22372375373
BaseRepresentation
bin1010000010001…
…10010010001100
312212101110222020
411001012102030
5133022031324
612204050140
72041316100
oct501062214
9185343866
1084173964
1143572166
1224233950
13145921a4
14b271900
1575ca679
hex504648c

84173964 has 144 divisors (see below), whose sum is σ = 242349408. Its totient is φ = 22643712.

The previous prime is 84173941. The next prime is 84173983. The reversal of 84173964 is 46937148.

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

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, 1153032 + ... + 1153104.

It is an arithmetic number, because the mean of its divisors is an integer number (1682982).

Almost surely, 284173964 is an apocalyptic number.

84173964 is a gapful number since it is divisible by the number (84) 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 84173964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121174704).

84173964 is an abundant number, since it is smaller than the sum of its proper divisors (158175444).

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

84173964 is a wasteful number, since it uses less digits than its factorization.

84173964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 175 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 84173964 is about 9174.6369955437. The cubic root of 84173964 is about 438.2540383228.

The spelling of 84173964 in words is "eighty-four million, one hundred seventy-three thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 49 53 73 74 84 98 106 111 146 147 148 159 196 212 219 222 259 292 294 318 371 438 444 511 518 588 636 742 777 876 1022 1036 1113 1484 1533 1554 1813 1961 2044 2226 2597 2701 3066 3108 3577 3626 3869 3922 4452 5194 5402 5439 5883 6132 7154 7252 7738 7791 7844 8103 10388 10731 10804 10878 11607 11766 13727 14308 15476 15582 16206 18907 21462 21756 23214 23532 27083 27454 31164 32412 37814 41181 42924 46428 54166 54908 56721 75628 81249 82362 96089 108332 113442 132349 143153 162498 164724 189581 192178 226884 264698 286306 288267 324996 379162 384356 397047 429459 529396 568743 572612 576534 758324 794094 858918 1002071 1137486 1153068 1588188 1717836 2004142 2274972 3006213 4008284 6012426 7014497 12024852 14028994 21043491 28057988 42086982 84173964