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1139530240 = 2953183173
BaseRepresentation
bin100001111101011…
…1101101000000000
32221102020010121201
41003322331220000
54313204431430
6305024030544
740144563412
oct10372755000
92842203551
101139530240
11535264a32
12279762454
13152111764
14ab4ac9b2
156a0938ca
hex43ebda00

1139530240 has 160 divisors (see below), whose sum is σ = 2870816256. Its totient is φ = 433274880.

The previous prime is 1139530237. The next prime is 1139530241. The reversal of 1139530240 is 420359311.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 1139530199 and 1139530208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1139530241) 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, 6586794 + ... + 6586966.

Almost surely, 21139530240 is an apocalyptic number.

1139530240 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 1139530240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1435408128).

1139530240 is an abundant number, since it is smaller than the sum of its proper divisors (1731286016).

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

1139530240 is an equidigital number, since it uses as much as digits as its factorization.

1139530240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 1139530240 is about 33756.9287702540. The cubic root of 1139530240 is about 1044.5004182399.

Adding to 1139530240 its reverse (420359311), we get a palindrome (1559889551).

The spelling of 1139530240 in words is "one billion, one hundred thirty-nine million, five hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 83 124 128 155 160 166 173 248 256 310 320 332 346 415 496 512 620 640 664 692 830 865 992 1240 1280 1328 1384 1660 1730 1984 2480 2560 2573 2656 2768 3320 3460 3968 4960 5146 5312 5363 5536 6640 6920 7936 9920 10292 10624 10726 11072 12865 13280 13840 14359 15872 19840 20584 21248 21452 22144 25730 26560 26815 27680 28718 39680 41168 42496 42904 44288 51460 53120 53630 55360 57436 71795 79360 82336 85808 88576 102920 106240 107260 110720 114872 143590 164672 171616 205840 212480 214520 221440 229744 287180 329344 343232 411680 429040 442880 445129 459488 574360 658688 686464 823360 858080 890258 918976 1148720 1317376 1372928 1646720 1716160 1780516 1837952 2225645 2297440 2745856 3293440 3432320 3561032 3675904 4451290 4594880 6586880 6864640 7122064 7351808 8902580 9189760 13729280 14244128 17805160 18379520 28488256 35610320 36759040 56976512 71220640 113953024 142441280 227906048 284882560 569765120 1139530240