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103143552 = 2731967211
BaseRepresentation
bin1100010010111…
…01100010000000
321012002020100120
412021131202000
5202401043202
614122420240
72361464031
oct611354200
9235066316
10103143552
1153249306
122a661680
13184a45b5
14d9aca88
1590c60bc
hex625d880

103143552 has 128 divisors (see below), whose sum is σ = 294086400. Its totient is φ = 31933440.

The previous prime is 103143511. The next prime is 103143553. The reversal of 103143552 is 255341301.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (103143553) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 488727 + ... + 488937.

It is an arithmetic number, because the mean of its divisors is an integer number (2297550).

Almost surely, 2103143552 is an apocalyptic number.

103143552 is a gapful number since it is divisible by the number (12) 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 103143552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147043200).

103143552 is an abundant number, since it is smaller than the sum of its proper divisors (190942848).

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

103143552 is a wasteful number, since it uses less digits than its factorization.

103143552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 103143552 is about 10155.9614020535. The cubic root of 103143552 is about 468.9724829017.

Adding to 103143552 its reverse (255341301), we get a palindrome (358484853).

The spelling of 103143552 in words is "one hundred three million, one hundred forty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 67 76 96 114 128 134 152 192 201 211 228 268 304 384 402 422 456 536 608 633 804 844 912 1072 1216 1266 1273 1608 1688 1824 2144 2432 2532 2546 3216 3376 3648 3819 4009 4288 5064 5092 6432 6752 7296 7638 8018 8576 10128 10184 12027 12864 13504 14137 15276 16036 20256 20368 24054 25728 27008 28274 30552 32072 40512 40736 42411 48108 56548 61104 64144 81024 81472 84822 96216 113096 122208 128288 162944 169644 192432 226192 244416 256576 268603 339288 384864 452384 488832 513152 537206 678576 769728 805809 904768 1074412 1357152 1539456 1611618 1809536 2148824 2714304 3223236 4297648 5428608 6446472 8595296 12892944 17190592 25785888 34381184 51571776 103143552