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1151141970 = 235113127227
BaseRepresentation
bin100010010011101…
…0000100001010010
32222020002001220210
41010213100201102
54324143020340
6310120544550
740345355016
oct10447204122
92866061823
101151141970
11540876000
12281622156
13154648ac4
14acc52546
156b0d9180
hex449d0852

1151141970 has 128 divisors (see below), whose sum is σ = 3076227072. Its totient is φ = 275647680.

The previous prime is 1151141969. The next prime is 1151141987. The reversal of 1151141970 is 791411511.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5070997 + ... + 5071223.

It is an arithmetic number, because the mean of its divisors is an integer number (24033024).

Almost surely, 21151141970 is an apocalyptic number.

1151141970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1151141970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538113536).

1151141970 is an abundant number, since it is smaller than the sum of its proper divisors (1925085102).

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

1151141970 is a wasteful number, since it uses less digits than its factorization.

1151141970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 30.

The square root of 1151141970 is about 33928.4831668025. The cubic root of 1151141970 is about 1048.0362297607.

The spelling of 1151141970 in words is "one billion, one hundred fifty-one million, one hundred forty-one thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 127 165 227 242 254 330 363 381 454 605 635 681 726 762 1135 1210 1270 1331 1362 1397 1815 1905 2270 2497 2662 2794 3405 3630 3810 3993 4191 4994 6655 6810 6985 7491 7986 8382 12485 13310 13970 14982 15367 19965 20955 24970 27467 28829 30734 37455 39930 41910 46101 54934 57658 74910 76835 82401 86487 92202 137335 144145 153670 164802 169037 172974 230505 274670 288290 302137 317119 338074 412005 432435 461010 507111 604274 634238 824010 845185 864870 906411 951357 1014222 1510685 1585595 1690370 1812822 1902714 2535555 3021370 3171190 3488309 4532055 4756785 5071110 6976618 9064110 9513570 10464927 17441545 20929854 34883090 38371399 52324635 76742798 104649270 115114197 191856995 230228394 383713990 575570985 1151141970