Search a number
-
+
1041920334 = 2367137853
BaseRepresentation
bin111110000110100…
…111000101001110
32200121120001000000
4332012213011032
54113212422314
6251215545130
734551114420
oct7606470516
92617501000
101041920334
11495156194
12250b2b1a6
13137b26b10
149c540810
1561712209
hex3e1a714e

1041920334 has 112 divisors (see below), whose sum is σ = 2884365792. Its totient is φ = 274757184.

The previous prime is 1041920329. The next prime is 1041920339. The reversal of 1041920334 is 4330291401.

1041920334 is a `hidden beast` number, since 10 + 419 + 203 + 34 = 666.

It is an interprime number because it is at equal distance from previous prime (1041920329) and next prime (1041920339).

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1041920298 and 1041920307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1041920339) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 128752 + ... + 136604.

It is an arithmetic number, because the mean of its divisors is an integer number (25753266).

Almost surely, 21041920334 is an apocalyptic number.

1041920334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1041920334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1442182896).

1041920334 is an abundant number, since it is smaller than the sum of its proper divisors (1842445458).

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

1041920334 is an equidigital number, since it uses as much as digits as its factorization.

1041920334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7893 (or 7878 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1041920334 is about 32278.7907766075. The cubic root of 1041920334 is about 1013.7826115683.

The spelling of 1041920334 in words is "one billion, forty-one million, nine hundred twenty thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 81 91 117 126 162 182 189 234 243 273 351 378 486 546 567 702 729 819 1053 1134 1458 1638 1701 2106 2457 3159 3402 4914 5103 6318 7371 7853 9477 10206 14742 15706 18954 22113 23559 44226 47118 54971 66339 70677 102089 109942 132678 141354 164913 204178 212031 306267 329826 424062 494739 612534 636093 714623 918801 989478 1272186 1429246 1484217 1837602 1908279 2143869 2756403 2968434 3816558 4287738 4452651 5512806 5724837 6431607 8269209 8905302 11449674 12863214 13357953 16538418 19294821 24807627 26715906 38589642 40073859 49615254 57884463 74422881 80147718 115768926 148845762 173653389 347306778 520960167 1041920334