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65457990 = 233513171097
BaseRepresentation
bin1111100110110…
…0111101000110
311120011121111000
43321230331012
5113224123430
610254554130
71423245423
oct371547506
9146147430
1065457990
1133a49614
1219b08946
131073b350
14899cd4a
155b2ee60
hex3e6cf46

65457990 has 128 divisors (see below), whose sum is σ = 199221120. Its totient is φ = 15151104.

The previous prime is 65457971. The next prime is 65457991. The reversal of 65457990 is 9975456.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65457991) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59122 + ... + 60218.

It is an arithmetic number, because the mean of its divisors is an integer number (1556415).

Almost surely, 265457990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65457990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99610560).

65457990 is an abundant number, since it is smaller than the sum of its proper divisors (133763130).

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

65457990 is a wasteful number, since it uses less digits than its factorization.

65457990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 65457990 is about 8090.6112253649. The cubic root of 65457990 is about 403.0147010299.

It can be divided in two parts, 6545 and 7990, that added together give a triangular number (14535 = T170).

The spelling of 65457990 in words is "sixty-five million, four hundred fifty-seven thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 17 18 26 27 30 34 39 45 51 54 65 78 85 90 102 117 130 135 153 170 195 221 234 255 270 306 351 390 442 459 510 585 663 702 765 918 1097 1105 1170 1326 1530 1755 1989 2194 2210 2295 3291 3315 3510 3978 4590 5485 5967 6582 6630 9873 9945 10970 11934 14261 16455 18649 19746 19890 28522 29619 29835 32910 37298 42783 49365 55947 59238 59670 71305 85566 93245 98730 111894 128349 142610 148095 167841 186490 213915 242437 256698 279735 296190 335682 385047 427830 484874 503523 559470 641745 727311 770094 839205 1007046 1212185 1283490 1454622 1678410 1925235 2181933 2424370 2517615 3636555 3850470 4363866 5035230 6545799 7273110 10909665 13091598 21819330 32728995 65457990