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1151030040 = 233537397653
BaseRepresentation
bin100010010011011…
…0101001100011000
32222012212101101020
41010212311030120
54324130430130
6310114322440
740344410466
oct10446651430
92865771336
101151030040
115407a99a6
12281589420
13154609b84
14acc23836
156b0b5e10
hex449b5318

1151030040 has 128 divisors (see below), whose sum is σ = 3560794560. Its totient is φ = 297437184.

The previous prime is 1151030029. The next prime is 1151030053. The reversal of 1151030040 is 400301511.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1762354 + ... + 1763006.

Almost surely, 21151030040 is an apocalyptic number.

1151030040 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 1151030040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1780397280).

1151030040 is an abundant number, since it is smaller than the sum of its proper divisors (2409764520).

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

1151030040 is a wasteful number, since it uses less digits than its factorization.

1151030040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 1151030040 is about 33926.8336276759. The cubic root of 1151030040 is about 1048.0022604500.

Adding to 1151030040 its reverse (400301511), we get a palindrome (1551331551).

The spelling of 1151030040 in words is "one billion, one hundred fifty-one million, thirty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 397 444 555 653 740 794 888 1110 1191 1306 1480 1588 1959 1985 2220 2382 2612 3176 3265 3918 3970 4440 4764 5224 5955 6530 7836 7940 9528 9795 11910 13060 14689 15672 15880 19590 23820 24161 26120 29378 39180 44067 47640 48322 58756 72483 73445 78360 88134 96644 117512 120805 144966 146890 176268 193288 220335 241610 259241 289932 293780 352536 362415 440670 483220 518482 579864 587560 724830 777723 881340 966440 1036964 1296205 1449660 1555446 1762680 2073928 2592410 2899320 3110892 3888615 5184820 6221784 7777230 9591917 10369640 15554460 19183834 28775751 31108920 38367668 47959585 57551502 76735336 95919170 115103004 143878755 191838340 230206008 287757510 383676680 575515020 1151030040