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1121964120 = 233258337549
BaseRepresentation
bin100001011011111…
…1101000001011000
32220012011200102200
41002313331001120
54244210322440
6303155330200
736542352264
oct10267750130
92805150380
101121964120
11526357282
122738b0960
1314b5a10c4
14a90190a4
1568773c30
hex42dfd058

1121964120 has 96 divisors (see below), whose sum is σ = 3690414000. Its totient is φ = 295577856.

The previous prime is 1121964091. The next prime is 1121964133. The reversal of 1121964120 is 214691211.

1121964120 is a `hidden beast` number, since 1 + 1 + 2 + 19 + 641 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11106 + ... + 48654.

Almost surely, 21121964120 is an apocalyptic number.

1121964120 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 1121964120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1845207000).

1121964120 is an abundant number, since it is smaller than the sum of its proper divisors (2568449880).

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

1121964120 is a wasteful number, since it uses less digits than its factorization.

1121964120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37649 (or 37642 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1121964120 is about 33495.7328625603. The cubic root of 1121964120 is about 1039.1055302262.

The spelling of 1121964120 in words is "one billion, one hundred twenty-one million, nine hundred sixty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 83 90 120 166 180 249 332 360 415 498 664 747 830 996 1245 1494 1660 1992 2490 2988 3320 3735 4980 5976 7470 9960 14940 29880 37549 75098 112647 150196 187745 225294 300392 337941 375490 450588 563235 675882 750980 901176 1126470 1351764 1501960 1689705 2252940 2703528 3116567 3379410 4505880 6233134 6758820 9349701 12466268 13517640 15582835 18699402 24932536 28049103 31165670 37398804 46748505 56098206 62331340 74797608 93497010 112196412 124662680 140245515 186994020 224392824 280491030 373988040 560982060 1121964120