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1128611640 = 2335131742557
BaseRepresentation
bin100001101000101…
…0011111100111000
32220122200102010010
41003101103330320
54302411033030
6303554021520
736653016642
oct10321237470
92818612103
101128611640
1152a0876a2
12275b778a0
1314ca8aa50
14a9c69892
15691386b0
hex43453f38

1128611640 has 128 divisors (see below), whose sum is σ = 3860861760. Its totient is φ = 261464064.

The previous prime is 1128611639. The next prime is 1128611651. The reversal of 1128611640 is 461168211.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1128611598 and 1128611607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5242 + ... + 47798.

Almost surely, 21128611640 is an apocalyptic number.

1128611640 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 1128611640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1930430880).

1128611640 is an abundant number, since it is smaller than the sum of its proper divisors (2732250120).

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

1128611640 is a wasteful number, since it uses less digits than its factorization.

1128611640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42601 (or 42597 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 1128611640 is about 33594.8156714693. The cubic root of 1128611640 is about 1041.1536876724.

Adding to 1128611640 its reverse (461168211), we get a palindrome (1589779851).

The spelling of 1128611640 in words is "one billion, one hundred twenty-eight million, six hundred eleven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 17 20 24 26 30 34 39 40 51 52 60 65 68 78 85 102 104 120 130 136 156 170 195 204 221 255 260 312 340 390 408 442 510 520 663 680 780 884 1020 1105 1326 1560 1768 2040 2210 2652 3315 4420 5304 6630 8840 13260 26520 42557 85114 127671 170228 212785 255342 340456 425570 510684 553241 638355 723469 851140 1021368 1106482 1276710 1446938 1659723 1702280 2170407 2212964 2553420 2766205 2893876 3319446 3617345 4340814 4425928 5106840 5532410 5787752 6638892 7234690 8298615 8681628 9405097 10852035 11064820 13277784 14469380 16597230 17363256 18810194 21704070 22129640 28215291 28938760 33194460 37620388 43408140 47025485 56430582 66388920 75240776 86816280 94050970 112861164 141076455 188101940 225722328 282152910 376203880 564305820 1128611640