[go: up one dir, main page]

Search a number
-
+
11748132 = 22331122931
BaseRepresentation
bin101100110100…
…001100100100
3211002212102000
4230310030210
511001420012
61055445300
7201600054
oct54641444
924085360
1011748132
1166a4600
123b26830
132584476
1417bb564
151070ddc
hexb34324

11748132 has 144 divisors (see below), whose sum is σ = 35750400. Its totient is φ = 3326400.

The previous prime is 11748131. The next prime is 11748133. The reversal of 11748132 is 23184711.

It is an interprime number because it is at equal distance from previous prime (11748131) and next prime (11748133).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11748096 and 11748105.

It is not an unprimeable number, because it can be changed into a prime (11748131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 378957 + ... + 378987.

Almost surely, 211748132 is an apocalyptic number.

11748132 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 11748132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17875200).

11748132 is an abundant number, since it is smaller than the sum of its proper divisors (24002268).

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

11748132 is a wasteful number, since it uses less digits than its factorization.

11748132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 76 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 11748132 is about 3427.5548135661. The cubic root of 11748132 is about 227.3297490474.

The spelling of 11748132 in words is "eleven million, seven hundred forty-eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 29 31 33 36 44 54 58 62 66 87 93 99 108 116 121 124 132 174 186 198 242 261 279 297 319 341 348 363 372 396 484 522 558 594 638 682 726 783 837 899 957 1023 1044 1089 1116 1188 1276 1364 1452 1566 1674 1798 1914 2046 2178 2697 2871 3069 3132 3267 3348 3509 3596 3751 3828 4092 4356 5394 5742 6138 6534 7018 7502 8091 8613 9207 9889 10527 10788 11253 11484 12276 13068 14036 15004 16182 17226 18414 19778 21054 22506 24273 29667 31581 32364 33759 34452 36828 39556 42108 45012 48546 59334 63162 67518 89001 94743 97092 101277 108779 118668 126324 135036 178002 189486 202554 217558 267003 326337 356004 378972 405108 435116 534006 652674 979011 1068012 1305348 1958022 2937033 3916044 5874066 11748132