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1030455405 = 335719291979
BaseRepresentation
bin111101011010111…
…000000001101101
32122210222120002000
4331122320001231
54102244033110
6250130122513
734351504110
oct7532700155
92583876060
101030455405
11489735441
12249120439
13135641535
149abd8577
15606ea1c0
hex3d6b806d

1030455405 has 128 divisors (see below), whose sum is σ = 2280960000. Its totient is φ = 430665984.

The previous prime is 1030455403. The next prime is 1030455427. The reversal of 1030455405 is 5045540301.

1030455405 is a `hidden beast` number, since 103 + 0 + 4 + 554 + 0 + 5 = 666.

It is not a de Polignac number, because 1030455405 - 21 = 1030455403 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030455403) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 519706 + ... + 521684.

It is an arithmetic number, because the mean of its divisors is an integer number (17820000).

Almost surely, 21030455405 is an apocalyptic number.

1030455405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1030455405 is an abundant number, since it is smaller than the sum of its proper divisors (1250504595).

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

1030455405 is a wasteful number, since it uses less digits than its factorization.

1030455405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2048 (or 2042 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 1030455405 is about 32100.7072351997. The cubic root of 1030455405 is about 1010.0504516836.

Adding to 1030455405 its reverse (5045540301), we get a palindrome (6075995706).

The spelling of 1030455405 in words is "one billion, thirty million, four hundred fifty-five thousand, four hundred five".

Divisors: 1 3 5 7 9 15 19 21 27 29 35 45 57 63 87 95 105 133 135 145 171 189 203 261 285 315 399 435 513 551 609 665 783 855 945 1015 1197 1305 1653 1827 1979 1995 2565 2755 3045 3591 3857 3915 4959 5481 5937 5985 8265 9135 9895 11571 13853 14877 17811 17955 19285 24795 27405 29685 34713 37601 41559 53433 57391 57855 69265 74385 89055 104139 112803 124677 172173 173565 188005 207795 263207 267165 286955 338409 374031 401737 516519 520695 564015 623385 789621 860865 1015227 1090429 1205211 1316035 1549557 1692045 1870155 2008685 2368863 2582595 3271287 3615633 3948105 5076135 5452145 6026055 7106589 7633003 7747785 9813861 10846899 11844315 16356435 18078165 22899009 29441583 35532945 38165015 49069305 54234495 68697027 114495045 147207915 206091081 343485135 1030455405