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97469190 = 23357133967
BaseRepresentation
bin1011100111101…
…00001100000110
320210101221121000
411303310030012
5144423003230
613401034130
72262321510
oct563641406
9223357530
1097469190
1150023055
1228785946
13172688a0
14cd32bb0
158854b60
hex5cf4306

97469190 has 128 divisors (see below), whose sum is σ = 319979520. Its totient is φ = 20559744.

The previous prime is 97469159. The next prime is 97469213. The reversal of 97469190 is 9196479.

It is a super-2 number, since 2×974691902 = 19000485998512200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 22587 + ... + 26553.

It is an arithmetic number, because the mean of its divisors is an integer number (2499840).

Almost surely, 297469190 is an apocalyptic number.

97469190 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 97469190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159989760).

97469190 is an abundant number, since it is smaller than the sum of its proper divisors (222510330).

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

97469190 is a wasteful number, since it uses less digits than its factorization.

97469190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4003 (or 3997 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 97469190 is about 9872.6485808014. The cubic root of 97469190 is about 460.2097184874.

The spelling of 97469190 in words is "ninety-seven million, four hundred sixty-nine thousand, one hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 27 30 35 39 42 45 54 63 65 70 78 90 91 105 117 126 130 135 182 189 195 210 234 270 273 315 351 378 390 455 546 585 630 702 819 910 945 1170 1365 1638 1755 1890 2457 2730 3510 3967 4095 4914 7934 8190 11901 12285 19835 23802 24570 27769 35703 39670 51571 55538 59505 71406 83307 103142 107109 119010 138845 154713 166614 178515 214218 249921 257855 277690 309426 357030 360997 416535 464139 499842 515710 535545 721994 749763 773565 833070 928278 1071090 1082991 1249605 1392417 1499526 1547130 1804985 2165982 2320695 2499210 2784834 3248973 3609970 3748815 4641390 5414955 6497946 6962085 7497630 9746919 10829910 13924170 16244865 19493838 32489730 48734595 97469190