Search a number
-
+
1403020440 = 233451672593
BaseRepresentation
bin101001110100000…
…0110010010011000
310121210000211020000
41103220012102120
510333133123230
6351115333000
746524322413
oct12350062230
93553024200
101403020440
1165aa72028
12331a51160
13194898513
14d449ab7a
158328eb60
hex53a06498

1403020440 has 160 divisors (see below), whose sum is σ = 4745774880. Its totient is φ = 371755008.

The previous prime is 1403020433. The next prime is 1403020457. The reversal of 1403020440 is 440203041.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 539784 + ... + 542376.

It is an arithmetic number, because the mean of its divisors is an integer number (29661093).

Almost surely, 21403020440 is an apocalyptic number.

1403020440 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 1403020440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2372887440).

1403020440 is an abundant number, since it is smaller than the sum of its proper divisors (3342754440).

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

1403020440 is a wasteful number, since it uses less digits than its factorization.

1403020440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2783 (or 2770 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1403020440 is about 37456.9144484700. The cubic root of 1403020440 is about 1119.4928720264.

Adding to 1403020440 its reverse (440203041), we get a palindrome (1843223481).

The spelling of 1403020440 in words is "one billion, four hundred three million, twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 167 180 216 270 324 334 360 405 501 540 648 668 810 835 1002 1080 1336 1503 1620 1670 2004 2505 2593 3006 3240 3340 4008 4509 5010 5186 6012 6680 7515 7779 9018 10020 10372 12024 12965 13527 15030 15558 18036 20040 20744 22545 23337 25930 27054 30060 31116 36072 38895 45090 46674 51860 54108 60120 62232 67635 70011 77790 90180 93348 103720 108216 116685 135270 140022 155580 180360 186696 210033 233370 270540 280044 311160 350055 420066 433031 466740 541080 560088 700110 840132 866062 933480 1050165 1299093 1400220 1680264 1732124 2100330 2165155 2598186 2800440 3464248 3897279 4200660 4330310 5196372 6495465 7794558 8401320 8660620 10392744 11691837 12990930 15589116 17321240 19486395 23383674 25981860 31178232 35075511 38972790 46767348 51963720 58459185 70151022 77945580 93534696 116918370 140302044 155891160 175377555 233836740 280604088 350755110 467673480 701510220 1403020440