Search a number
-
+
102387390 = 23571967383
BaseRepresentation
bin1100001101001…
…00111010111110
321010122211002120
412012210322332
5202202344030
614054303410
72352164340
oct606447276
9233584076
10102387390
1152882186
122a357b66
131829b371
14d853290
158ec7010
hex61a4ebe

102387390 has 128 divisors (see below), whose sum is σ = 300810240. Its totient is φ = 21783168.

The previous prime is 102387377. The next prime is 102387403. The reversal of 102387390 is 93783201.

It is an interprime number because it is at equal distance from previous prime (102387377) and next prime (102387403).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 267139 + ... + 267521.

It is an arithmetic number, because the mean of its divisors is an integer number (2350080).

Almost surely, 2102387390 is an apocalyptic number.

102387390 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 102387390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150405120).

102387390 is an abundant number, since it is smaller than the sum of its proper divisors (198422850).

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

102387390 is a wasteful number, since it uses less digits than its factorization.

102387390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486.

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 102387390 is about 10118.6654258356. The cubic root of 102387390 is about 467.8236332300.

The spelling of 102387390 in words is "one hundred two million, three hundred eighty-seven thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 57 67 70 95 105 114 133 134 190 201 210 266 285 335 383 399 402 469 570 665 670 766 798 938 1005 1149 1273 1330 1407 1915 1995 2010 2298 2345 2546 2681 2814 3819 3830 3990 4690 5362 5745 6365 7035 7277 7638 8043 8911 11490 12730 13405 14070 14554 16086 17822 19095 21831 25661 26733 26810 36385 38190 40215 43662 44555 50939 51322 53466 72770 76983 80430 89110 101878 109155 128305 133665 152817 153966 179627 218310 254695 256610 267330 305634 359254 384915 487559 509390 538881 764085 769830 898135 975118 1077762 1462677 1528170 1796270 2437795 2694405 2925354 3412913 4875590 5388810 6825826 7313385 10238739 14626770 17064565 20477478 34129130 51193695 102387390