[go: up one dir, main page]

Search a number
-
+
3769740 = 2234513179
BaseRepresentation
bin1110011000010110001100
321002112010000
432120112030
51431112430
6212444300
744020332
oct16302614
97075100
103769740
112145297
121319690
13a1cb20
14701b52
154e6e60
hex39858c

3769740 has 120 divisors (see below), whose sum is σ = 12806640. Its totient is φ = 922752.

The previous prime is 3769709. The next prime is 3769751. The reversal of 3769740 is 479673.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3769695 and 3769704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20971 + ... + 21149.

It is an arithmetic number, because the mean of its divisors is an integer number (106722).

Almost surely, 23769740 is an apocalyptic number.

3769740 is a gapful number since it is divisible by the number (30) 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 3769740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6403320).

3769740 is an abundant number, since it is smaller than the sum of its proper divisors (9036900).

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

3769740 is a wasteful number, since it uses less digits than its factorization.

3769740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 3769740 is about 1941.5818293340. The cubic root of 3769740 is about 155.6337562209.

The spelling of 3769740 in words is "three million, seven hundred sixty-nine thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 179 180 195 234 260 270 324 351 358 390 405 468 537 540 585 702 716 780 810 895 1053 1074 1170 1404 1611 1620 1755 1790 2106 2148 2327 2340 2685 3222 3510 3580 4212 4654 4833 5265 5370 6444 6981 7020 8055 9308 9666 10530 10740 11635 13962 14499 16110 19332 20943 21060 23270 24165 27924 28998 32220 34905 41886 46540 48330 57996 62829 69810 72495 83772 96660 104715 125658 139620 144990 188487 209430 251316 289980 314145 376974 418860 628290 753948 942435 1256580 1884870 3769740