Search a number
-
+
1121464432 = 24111731107113
BaseRepresentation
bin100001011011000…
…0011000001110000
32220011020021222201
41002312003001300
54244043330212
6303140512544
736535201414
oct10266030160
92804207881
101121464432
11526045910
122736ab754
1314b45782a
14a8d28d44
15686c5b57
hex42d83070

1121464432 has 160 divisors (see below), whose sum is σ = 2638116864. Its totient is φ = 455884800.

The previous prime is 1121464427. The next prime is 1121464441. The reversal of 1121464432 is 2344641211.

It is a self number, because there is not a number n which added to its sum of digits gives 1121464432.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 9924408 + ... + 9924520.

Almost surely, 21121464432 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 1121464432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319058432).

1121464432 is an abundant number, since it is smaller than the sum of its proper divisors (1516652432).

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

1121464432 is a wasteful number, since it uses less digits than its factorization.

1121464432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 281 counting only the distinct ones).

The product of its digits is 4608, while the sum is 28.

The square root of 1121464432 is about 33488.2730519207. The cubic root of 1121464432 is about 1038.9512455342.

The spelling of 1121464432 in words is "one billion, one hundred twenty-one million, four hundred sixty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 17 22 31 34 44 62 68 88 107 113 124 136 176 187 214 226 248 272 341 374 428 452 496 527 682 748 856 904 1054 1177 1243 1364 1496 1712 1808 1819 1921 2108 2354 2486 2728 2992 3317 3503 3638 3842 4216 4708 4972 5456 5797 6634 7006 7276 7684 8432 9416 9944 11594 12091 13268 14012 14552 15368 18832 19888 20009 21131 23188 24182 26536 28024 29104 30736 36487 38533 40018 42262 46376 48364 53072 56048 56389 59551 72974 77066 80036 84524 92752 96728 112778 119102 133001 145948 154132 160072 169048 193456 205547 225556 238204 266002 291896 308264 320144 338096 374821 411094 451112 476408 532004 583792 616528 620279 655061 749642 822188 902224 952816 1064008 1240558 1310122 1499284 1644376 2128016 2261017 2481116 2620244 2998568 3288752 4123031 4522034 4962232 5240488 5997136 6371957 8246062 9044068 9924464 10480976 12743914 16492124 18088136 25487828 32984248 36176272 50975656 65968496 70091527 101951312 140183054 280366108 560732216 1121464432