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103014464 = 2672107307
BaseRepresentation
bin1100010001111…
…10000001000000
321011211200021112
412020332001000
5202332430324
614115542452
72360415500
oct610760100
9234750245
10103014464
1153170323
122a5baa28
131845a907
14d977a00
15909cc0e
hex623e040

103014464 has 84 divisors (see below), whose sum is σ = 240798096. Its totient is φ = 43593984.

The previous prime is 103014463. The next prime is 103014487. The reversal of 103014464 is 464410301.

It is a super-2 number, since 2×1030144642 = 21223959586414592, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103014463) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 335399 + ... + 335705.

It is an arithmetic number, because the mean of its divisors is an integer number (2866644).

Almost surely, 2103014464 is an apocalyptic number.

103014464 is a gapful number since it is divisible by the number (14) 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 103014464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120399048).

103014464 is an abundant number, since it is smaller than the sum of its proper divisors (137783632).

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

103014464 is a wasteful number, since it uses less digits than its factorization.

103014464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 103014464 is about 10149.6041302112. The cubic root of 103014464 is about 468.7767557113.

Adding to 103014464 its reverse (464410301), we get a palindrome (567424765).

The spelling of 103014464 in words is "one hundred three million, fourteen thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 107 112 196 214 224 307 392 428 448 614 749 784 856 1228 1498 1568 1712 2149 2456 2996 3136 3424 4298 4912 5243 5992 6848 8596 9824 10486 11984 15043 17192 19648 20972 23968 30086 32849 34384 41944 47936 60172 65698 68768 83888 120344 131396 137536 167776 229943 240688 262792 335552 459886 481376 525584 919772 962752 1051168 1609601 1839544 2102336 3219202 3679088 6438404 7358176 12876808 14716352 25753616 51507232 103014464