Search a number
-
+
1541013696 = 26321927411
BaseRepresentation
bin101101111011010…
…0000000011000000
310222101200121101100
41123312200003000
511123444414241
6412525134400
753121254205
oct13366400300
93871617340
101541013696
11720953442
123700ba400
131b7352331
1410893bcac
159044b9b6
hex5bda00c0

1541013696 has 126 divisors (see below), whose sum is σ = 4662377772. Its totient is φ = 486570240.

The previous prime is 1541013673. The next prime is 1541013713. The reversal of 1541013696 is 6963101451.

It is a super-2 number, since 2×15410136962 = 4749446422519160832, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1541013696.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 204231 + ... + 211641.

Almost surely, 21541013696 is an apocalyptic number.

1541013696 is a gapful number since it is divisible by the number (16) 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 1541013696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2331188886).

1541013696 is an abundant number, since it is smaller than the sum of its proper divisors (3121364076).

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

1541013696 is a wasteful number, since it uses less digits than its factorization.

1541013696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7467 (or 7435 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 1541013696 is about 39255.7472989625. The cubic root of 1541013696 is about 1155.0536749104.

The spelling of 1541013696 in words is "one billion, five hundred forty-one million, thirteen thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 144 152 171 192 228 288 304 342 361 456 576 608 684 722 912 1083 1216 1368 1444 1824 2166 2736 2888 3249 3648 4332 5472 5776 6498 7411 8664 10944 11552 12996 14822 17328 22233 23104 25992 29644 34656 44466 51984 59288 66699 69312 88932 103968 118576 133398 140809 177864 207936 237152 266796 281618 355728 422427 474304 533592 563236 711456 844854 1067184 1126472 1267281 1422912 1689708 2134368 2252944 2534562 2675371 3379416 4268736 4505888 5069124 5350742 6758832 8026113 9011776 10138248 10701484 13517664 16052226 20276496 21402968 24078339 27035328 32104452 40552992 42805936 48156678 64208904 81105984 85611872 96313356 128417808 171223744 192626712 256835616 385253424 513671232 770506848 1541013696