Search a number
-
+
672554040 = 233523673637
BaseRepresentation
bin101000000101100…
…101110000111000
31201212112021200220
4220011211300320
52334133212130
6150423100040
722444420644
oct5005456070
91655467626
10672554040
11315703894
121692a1620
13a944ca92
1465471c24
153e0a0410
hex28165c38

672554040 has 128 divisors (see below), whose sum is σ = 2137397760. Its totient is φ = 168943104.

The previous prime is 672554033. The next prime is 672554081. The reversal of 672554040 is 40455276.

It is a junction number, because it is equal to n+sod(n) for n = 672553992 and 672554010.

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, 183102 + ... + 186738.

It is an arithmetic number, because the mean of its divisors is an integer number (16698420).

Almost surely, 2672554040 is an apocalyptic number.

672554040 is a gapful number since it is divisible by the number (60) 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 672554040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068698880).

672554040 is an abundant number, since it is smaller than the sum of its proper divisors (1464843720).

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

672554040 is a wasteful number, since it uses less digits than its factorization.

672554040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3741 (or 3737 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 672554040 is about 25933.6468704268. The cubic root of 672554040 is about 876.1444789949.

The spelling of 672554040 in words is "six hundred seventy-two million, five hundred fifty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 67 69 92 115 120 134 138 184 201 230 268 276 335 345 402 460 536 552 670 690 804 920 1005 1340 1380 1541 1608 2010 2680 2760 3082 3637 4020 4623 6164 7274 7705 8040 9246 10911 12328 14548 15410 18185 18492 21822 23115 29096 30820 36370 36984 43644 46230 54555 61640 72740 83651 87288 92460 109110 145480 167302 184920 218220 243679 250953 334604 418255 436440 487358 501906 669208 731037 836510 974716 1003812 1218395 1254765 1462074 1673020 1949432 2007624 2436790 2509530 2924148 3346040 3655185 4873580 5019060 5604617 5848296 7310370 9747160 10038120 11209234 14620740 16813851 22418468 28023085 29241480 33627702 44836936 56046170 67255404 84069255 112092340 134510808 168138510 224184680 336277020 672554040