Search a number
-
+
97018740 = 223257135923
BaseRepresentation
bin1011100100001…
…10001101110100
320202120001200200
411302012031310
5144314044430
613343240500
72255434320
oct562061564
9222501620
1097018740
114a845685
12285a9130
131713b850
14cc56980
1587b6460
hex5c86374

97018740 has 144 divisors (see below), whose sum is σ = 362264448. Its totient is φ = 20466432.

The previous prime is 97018723. The next prime is 97018759. The reversal of 97018740 is 4781079.

It is a super-2 number, since 2×970187402 = 18825271822375200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 97018695 and 97018704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13419 + ... + 19341.

Almost surely, 297018740 is an apocalyptic number.

97018740 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 97018740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181132224).

97018740 is an abundant number, since it is smaller than the sum of its proper divisors (265245708).

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

97018740 is a wasteful number, since it uses less digits than its factorization.

97018740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5958 (or 5953 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 97018740 is about 9849.8091352066. The cubic root of 97018740 is about 459.4996765576.

The spelling of 97018740 in words is "ninety-seven million, eighteen thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 26 28 30 35 36 39 42 45 52 60 63 65 70 78 84 90 91 105 117 126 130 140 156 180 182 195 210 234 252 260 273 315 364 390 420 455 468 546 585 630 780 819 910 1092 1170 1260 1365 1638 1820 2340 2730 3276 4095 5460 5923 8190 11846 16380 17769 23692 29615 35538 41461 53307 59230 71076 76999 82922 88845 106614 118460 124383 153998 165844 177690 207305 213228 230997 248766 266535 307996 355380 373149 384995 414610 461994 497532 533070 538993 621915 692991 746298 769990 829220 923988 1066140 1077986 1154985 1243830 1385982 1492596 1539980 1616979 1865745 2155972 2309970 2487660 2694965 2771964 3233958 3464955 3731490 4619940 4850937 5389930 6467916 6929910 7462980 8084895 9701874 10779860 13859820 16169790 19403748 24254685 32339580 48509370 97018740