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102301472 = 2571319432
BaseRepresentation
bin1100001100011…
…11111100100000
321010111110020102
412012033330200
5202142121342
614052401532
72351356010
oct606177440
9233443212
10102301472
1152823679
122a3162a8
131826b220
14d82dc40
158eab832
hex618ff20

102301472 has 144 divisors (see below), whose sum is σ = 267140160. Its totient is φ = 37449216.

The previous prime is 102301471. The next prime is 102301513. The reversal of 102301472 is 274103201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102301471) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2379083 + ... + 2379125.

It is an arithmetic number, because the mean of its divisors is an integer number (1855140).

Almost surely, 2102301472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102301472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133570080).

102301472 is an abundant number, since it is smaller than the sum of its proper divisors (164838688).

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

102301472 is a wasteful number, since it uses less digits than its factorization.

102301472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 102301472 is about 10114.4190144565. The cubic root of 102301472 is about 467.6927391190.

Adding to 102301472 its reverse (274103201), we get a palindrome (376404673).

It can be divided in two parts, 10 and 2301472, that multiplied together give a triangular number (23014720 = T6784).

The spelling of 102301472 in words is "one hundred two million, three hundred one thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 32 38 43 52 56 76 86 91 104 112 133 152 172 182 208 224 247 266 301 304 344 364 416 494 532 559 602 608 688 728 817 988 1064 1118 1204 1376 1456 1634 1729 1849 1976 2128 2236 2408 2912 3268 3458 3698 3913 3952 4256 4472 4816 5719 6536 6916 7396 7826 7904 8944 9632 10621 11438 12943 13072 13832 14792 15652 17888 21242 22876 24037 25886 26144 27664 29584 31304 35131 42484 45752 48074 51772 55328 59168 62608 70262 74347 84968 91504 96148 103544 125216 140524 148694 168259 169936 183008 192296 207088 245917 281048 297388 336518 339872 384592 414176 456703 491834 562096 594776 673036 769184 913406 983668 1124192 1189552 1346072 1826812 1967336 2379104 2692144 3196921 3653624 3934672 5384288 6393842 7307248 7869344 12787684 14614496 25575368 51150736 102301472