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1122009984 = 27323592713
BaseRepresentation
bin100001011100000…
…1000001110000000
32220012021000100100
41002320020032000
54244213304414
6303200322400
736542633064
oct10270101600
92805230310
101122009984
11526388787
12273913400
1314b5b8c44
14a902baa4
1568782609
hex42e08380

1122009984 has 96 divisors (see below), whose sum is σ = 3238887600. Its totient is φ = 372824064.

The previous prime is 1122009953. The next prime is 1122010009. The reversal of 1122009984 is 4899002211.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 412212 + ... + 414924.

Almost surely, 21122009984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122009984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619443800).

1122009984 is an abundant number, since it is smaller than the sum of its proper divisors (2116877616).

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

1122009984 is a wasteful number, since it uses less digits than its factorization.

1122009984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3092 (or 3077 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1122009984 is about 33496.4174800829. The cubic root of 1122009984 is about 1039.1196889935.

The spelling of 1122009984 in words is "one billion, one hundred twenty-two million, nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 359 384 576 718 1077 1152 1436 2154 2713 2872 3231 4308 5426 5744 6462 8139 8616 10852 11488 12924 16278 17232 21704 22976 24417 25848 32556 34464 43408 45952 48834 51696 65112 68928 86816 97668 103392 130224 137856 173632 195336 206784 260448 347264 390672 413568 520896 781344 973967 1041792 1562688 1947934 2921901 3125376 3895868 5843802 7791736 8765703 11687604 15583472 17531406 23375208 31166944 35062812 46750416 62333888 70125624 93500832 124667776 140251248 187001664 280502496 374003328 561004992 1122009984