Search a number
-
+
408136080 = 243511314987
BaseRepresentation
bin11000010100111…
…010100110010000
31001102222110110010
4120110322212100
51313440323310
6104255434520
713054046052
oct3024724620
91042873403
10408136080
1119a422750
12b4825a40
136672c951
143c2c18d2
1525c6e320
hex1853a990

408136080 has 160 divisors (see below), whose sum is σ = 1425051648. Its totient is φ = 95731200.

The previous prime is 408136073. The next prime is 408136097. The reversal of 408136080 is 80631804.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 79347 + ... + 84333.

Almost surely, 2408136080 is an apocalyptic number.

408136080 is a gapful number since it is divisible by the number (40) 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 408136080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712525824).

408136080 is an abundant number, since it is smaller than the sum of its proper divisors (1016915568).

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

408136080 is a wasteful number, since it uses less digits than its factorization.

408136080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5045 (or 5039 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 408136080 is about 20202.3780778402. The cubic root of 408136080 is about 741.7684027142.

Adding to 408136080 its reverse (80631804), we get a palindrome (488767884).

The spelling of 408136080 in words is "four hundred eight million, one hundred thirty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 31 33 40 44 48 55 60 62 66 80 88 93 110 120 124 132 155 165 176 186 220 240 248 264 310 330 341 372 440 465 496 528 620 660 682 744 880 930 1023 1240 1320 1364 1488 1705 1860 2046 2480 2640 2728 3410 3720 4092 4987 5115 5456 6820 7440 8184 9974 10230 13640 14961 16368 19948 20460 24935 27280 29922 39896 40920 49870 54857 59844 74805 79792 81840 99740 109714 119688 149610 154597 164571 199480 219428 239376 274285 299220 309194 329142 398960 438856 463791 548570 598440 618388 658284 772985 822855 877712 927582 1097140 1196880 1236776 1316568 1545970 1645710 1700567 1855164 2194280 2318955 2473552 2633136 3091940 3291420 3401134 3710328 4388560 4637910 5101701 6183880 6582840 6802268 7420656 8502835 9275820 10203402 12367760 13165680 13604536 17005670 18551640 20406804 25508505 27209072 34011340 37103280 40813608 51017010 68022680 81627216 102034020 136045360 204068040 408136080