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102445350 = 23527432269
BaseRepresentation
bin1100001101100…
…11000100100110
321010202202121020
412012303010212
5202211222400
614055432010
72352525330
oct606630446
9233682536
10102445350
1152911787
122a385606
13182bb867
14d86a450
158ed92a0
hex61b3126

102445350 has 96 divisors (see below), whose sum is σ = 297242880. Its totient is φ = 22861440.

The previous prime is 102445339. The next prime is 102445361. The reversal of 102445350 is 53544201.

It is an interprime number because it is at equal distance from previous prime (102445339) and next prime (102445361).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 102445350.

It is a congruent number.

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, 44016 + ... + 46284.

It is an arithmetic number, because the mean of its divisors is an integer number (3096280).

Almost surely, 2102445350 is an apocalyptic number.

102445350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102445350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148621440).

102445350 is an abundant number, since it is smaller than the sum of its proper divisors (194797530).

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

102445350 is a wasteful number, since it uses less digits than its factorization.

102445350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2334 (or 2329 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 102445350 is about 10121.5290346864. The cubic root of 102445350 is about 467.9118926108.

Adding to 102445350 its reverse (53544201), we get a palindrome (155989551).

The spelling of 102445350 in words is "one hundred two million, four hundred forty-five thousand, three hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 43 50 70 75 86 105 129 150 175 210 215 258 301 350 430 525 602 645 903 1050 1075 1290 1505 1806 2150 2269 3010 3225 4515 4538 6450 6807 7525 9030 11345 13614 15050 15883 22575 22690 31766 34035 45150 47649 56725 68070 79415 95298 97567 113450 158830 170175 195134 238245 292701 340350 397075 476490 487835 585402 682969 794150 975670 1191225 1365938 1463505 2048907 2382450 2439175 2927010 3414845 4097814 4878350 6829690 7317525 10244535 14635050 17074225 20489070 34148450 51222675 102445350