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1150321120 = 255133714947
BaseRepresentation
bin100010010010000…
…1000000111100000
32222011112100220221
41010210020013200
54323440233440
6310051212424
740335365614
oct10444100740
92864470827
101150321120
11540365313
122812a7114
1315441c2b0
14acabb344
156aec5d4a
hex449081e0

1150321120 has 96 divisors (see below), whose sum is σ = 3005983008. Its totient is φ = 413227008.

The previous prime is 1150321111. The next prime is 1150321141. The reversal of 1150321120 is 211230511.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1150321094 and 1150321103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69487 + ... + 84433.

It is an arithmetic number, because the mean of its divisors is an integer number (31312323).

Almost surely, 21150321120 is an apocalyptic number.

1150321120 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 1150321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502991504).

1150321120 is an abundant number, since it is smaller than the sum of its proper divisors (1855661888).

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

1150321120 is a wasteful number, since it uses less digits than its factorization.

1150321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15012 (or 15004 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 1150321120 is about 33916.3842412484. The cubic root of 1150321120 is about 1047.7870612179.

Adding to 1150321120 its reverse (211230511), we get a palindrome (1361551631).

It can be divided in two parts, 11503 and 21120, that added together give a palindrome (32623).

The spelling of 1150321120 in words is "one billion, one hundred fifty million, three hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 37 40 52 65 74 80 104 130 148 160 185 208 260 296 370 416 481 520 592 740 962 1040 1184 1480 1924 2080 2405 2960 3848 4810 5920 7696 9620 14947 15392 19240 29894 38480 59788 74735 76960 119576 149470 194311 239152 298940 388622 478304 553039 597880 777244 971555 1106078 1195760 1554488 1943110 2212156 2391520 2765195 3108976 3886220 4424312 5530390 6217952 7189507 7772440 8848624 11060780 14379014 15544880 17697248 22121560 28758028 31089760 35947535 44243120 57516056 71895070 88486240 115032112 143790140 230064224 287580280 575160560 1150321120