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1123424040 = 233529536091
BaseRepresentation
bin100001011110110…
…0001011100101000
32220021220212001210
41002331201130220
54300044032130
6303250513120
736560642514
oct10275413450
92807825053
101123424040
11527164122
122742957a0
1314b99276b
14a92b9144
15689615b0
hex42f61728

1123424040 has 128 divisors (see below), whose sum is σ = 3552854400. Its totient is φ = 283745280.

The previous prime is 1123424009. The next prime is 1123424047. The reversal of 1123424040 is 404243211.

It is a junction number, because it is equal to n+sod(n) for n = 1123423998 and 1123424016.

It is not an unprimeable number, because it can be changed into a prime (1123424047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181395 + ... + 187485.

It is an arithmetic number, because the mean of its divisors is an integer number (27756675).

Almost surely, 21123424040 is an apocalyptic number.

1123424040 is a gapful number since it is divisible by the number (10) 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 1123424040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1776427200).

1123424040 is an abundant number, since it is smaller than the sum of its proper divisors (2429430360).

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

1123424040 is a wasteful number, since it uses less digits than its factorization.

1123424040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6187 (or 6183 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1123424040 is about 33517.5184045597. The cubic root of 1123424040 is about 1039.5560358489.

Adding to 1123424040 its reverse (404243211), we get a palindrome (1527667251).

The spelling of 1123424040 in words is "one billion, one hundred twenty-three million, four hundred twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 53 58 60 87 106 116 120 145 159 174 212 232 265 290 318 348 424 435 530 580 636 696 795 870 1060 1160 1272 1537 1590 1740 2120 3074 3180 3480 4611 6091 6148 6360 7685 9222 12182 12296 15370 18273 18444 23055 24364 30455 30740 36546 36888 46110 48728 60910 61480 73092 91365 92220 121820 146184 176639 182730 184440 243640 322823 353278 365460 529917 645646 706556 730920 883195 968469 1059834 1291292 1413112 1614115 1766390 1936938 2119668 2582584 2649585 3228230 3532780 3873876 4239336 4842345 5299170 6456460 7065560 7747752 9361867 9684690 10598340 12912920 18723734 19369380 21196680 28085601 37447468 38738760 46809335 56171202 74894936 93618670 112342404 140428005 187237340 224684808 280856010 374474680 561712020 1123424040