Search a number
-
+
102301440 = 283526641
BaseRepresentation
bin1100001100011…
…11111100000000
321010111110012020
412012033330000
5202142121230
614052401440
72351355633
oct606177400
9233443166
10102301440
115282364a
122a316280
131826b1c7
14d82dc1a
158eab810
hex618ff00

102301440 has 72 divisors (see below), whose sum is σ = 326737488. Its totient is φ = 27279360.

The previous prime is 102301439. The next prime is 102301471. The reversal of 102301440 is 44103201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9481 + ... + 17160.

Almost surely, 2102301440 is an apocalyptic number.

102301440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102301440 is an abundant number, since it is smaller than the sum of its proper divisors (224436048).

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

102301440 is an equidigital number, since it uses as much as digits as its factorization.

102301440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26665 (or 26651 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 102301440 is about 10114.4174325564. The cubic root of 102301440 is about 467.6926903541.

Adding to 102301440 its reverse (44103201), we get a palindrome (146404641).

The spelling of 102301440 in words is "one hundred two million, three hundred one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 26641 53282 79923 106564 133205 159846 213128 266410 319692 399615 426256 532820 639384 799230 852512 1065640 1278768 1598460 1705024 2131280 2557536 3196920 3410048 4262560 5115072 6393840 6820096 8525120 10230144 12787680 17050240 20460288 25575360 34100480 51150720 102301440