Search a number
-
+
101875004 = 227112373197
BaseRepresentation
bin1100001001001…
…11110100111100
321002200210020022
412010213310330
5202040000004
614035311312
72344631450
oct604476474
9232623208
10101875004
1152562220
122a14b538
131814c08a
14d75c660
158e252be
hex6127d3c

101875004 has 96 divisors (see below), whose sum is σ = 236307456. Its totient is φ = 37255680.

The previous prime is 101874977. The next prime is 101875013. The reversal of 101875004 is 400578101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 517034 + ... + 517230.

It is an arithmetic number, because the mean of its divisors is an integer number (2461536).

Almost surely, 2101875004 is an apocalyptic number.

101875004 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 101875004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118153728).

101875004 is an abundant number, since it is smaller than the sum of its proper divisors (134432452).

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

101875004 is a wasteful number, since it uses less digits than its factorization.

101875004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 26.

The square root of 101875004 is about 10093.3148172441. The cubic root of 101875004 is about 467.0419378264.

The spelling of 101875004 in words is "one hundred one million, eight hundred seventy-five thousand, four".

Divisors: 1 2 4 7 11 14 22 23 28 44 46 73 77 92 146 154 161 197 253 292 308 322 394 506 511 644 788 803 1012 1022 1379 1606 1679 1771 2044 2167 2758 3212 3358 3542 4334 4531 5516 5621 6716 7084 8668 9062 11242 11753 14381 15169 18124 18469 22484 23506 28762 30338 31717 36938 47012 49841 57524 60676 63434 73876 99682 100667 126868 129283 158191 199364 201334 258566 316382 330763 348887 402668 517132 632764 661526 697774 1107337 1323052 1395548 2214674 2315341 3638393 4429348 4630682 7276786 9261364 14553572 25468751 50937502 101875004