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1146661020 = 2232519335281
BaseRepresentation
bin100010001011000…
…1010100010011100
32221220122102012200
41010112022202130
54322021123040
6305440531500
740262313021
oct10426124234
92856572180
101146661020
1153929543a
12280020b90
1315373a35b
14ac407548
156aa01630
hex4458a89c

1146661020 has 72 divisors (see below), whose sum is σ = 3661279440. Its totient is φ = 289681920.

The previous prime is 1146661003. The next prime is 1146661027. The reversal of 1146661020 is 201666411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1146661027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164221 + ... + 171060.

Almost surely, 21146661020 is an apocalyptic number.

1146661020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1146661020 is an abundant number, since it is smaller than the sum of its proper divisors (2514618420).

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

1146661020 is a wasteful number, since it uses less digits than its factorization.

1146661020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335315 (or 335310 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1146661020 is about 33862.3835546171. The cubic root of 1146661020 is about 1046.6745950328.

The spelling of 1146661020 in words is "one billion, one hundred forty-six million, six hundred sixty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 335281 670562 1005843 1341124 1676405 2011686 3017529 3352810 4023372 5029215 6035058 6370339 6705620 10058430 12070116 12740678 15087645 19111017 20116860 25481356 30175290 31851695 38222034 57333051 60350580 63703390 76444068 95555085 114666102 127406780 191110170 229332204 286665255 382220340 573330510 1146661020