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1132103040 = 27351992963
BaseRepresentation
bin100001101111010…
…1000010110000000
32220220020210102020
41003132220112000
54304304244130
6304200521440
740024500645
oct10336502600
92826223366
101132103040
11531051852
12277180280
13150710c73
14aa4d7dcc
15695c7e10
hex437a8580

1132103040 has 128 divisors (see below), whose sum is σ = 3627936000. Its totient is φ = 300275712.

The previous prime is 1132103003. The next prime is 1132103047. The reversal of 1132103040 is 403012311.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132103047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 380599 + ... + 383561.

It is an arithmetic number, because the mean of its divisors is an integer number (28343250).

Almost surely, 21132103040 is an apocalyptic number.

1132103040 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 1132103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1813968000).

1132103040 is an abundant number, since it is smaller than the sum of its proper divisors (2495832960).

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

1132103040 is a wasteful number, since it uses less digits than its factorization.

1132103040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3184 (or 3172 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1132103040 is about 33646.7389207335. The cubic root of 1132103040 is about 1042.2261977266.

Adding to 1132103040 its reverse (403012311), we get a palindrome (1535115351).

The spelling of 1132103040 in words is "one billion, one hundred thirty-two million, one hundred three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 199 240 320 384 398 480 597 640 796 960 995 1194 1592 1920 1990 2388 2963 2985 3184 3980 4776 5926 5970 6368 7960 8889 9552 11852 11940 12736 14815 15920 17778 19104 23704 23880 25472 29630 31840 35556 38208 44445 47408 47760 59260 63680 71112 76416 88890 94816 95520 118520 127360 142224 177780 189632 191040 237040 284448 355560 379264 382080 474080 568896 589637 711120 948160 1137792 1179274 1422240 1768911 1896320 2358548 2844480 2948185 3537822 4717096 5688960 5896370 7075644 8844555 9434192 11792740 14151288 17689110 18868384 23585480 28302576 35378220 37736768 47170960 56605152 70756440 75473536 94341920 113210304 141512880 188683840 226420608 283025760 377367680 566051520 1132103040