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1403437420 = 22572111011289
BaseRepresentation
bin101001110100110…
…1100000101101100
310121210211000012201
41103221230011230
510333234444140
6351132311244
746531010200
oct12351540554
93553730181
101403437420
11660227340
12332012524
131949b3258
14d4568b00
158332349a
hex53a6c16c

1403437420 has 144 divisors (see below), whose sum is σ = 3780030240. Its totient is φ = 432768000.

The previous prime is 1403437381. The next prime is 1403437429. The reversal of 1403437420 is 247343041.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (1403437429) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1088136 + ... + 1089424.

It is an arithmetic number, because the mean of its divisors is an integer number (26250210).

Almost surely, 21403437420 is an apocalyptic number.

1403437420 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 1403437420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1890015120).

1403437420 is an abundant number, since it is smaller than the sum of its proper divisors (2376592820).

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

1403437420 is a wasteful number, since it uses less digits than its factorization.

1403437420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424 (or 1415 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 1403437420 is about 37462.4801634916. The cubic root of 1403437420 is about 1119.6037660868.

The spelling of 1403437420 in words is "one billion, four hundred three million, four hundred thirty-seven thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 101 110 140 154 196 202 220 245 308 385 404 490 505 539 707 770 980 1010 1078 1111 1289 1414 1540 2020 2156 2222 2578 2695 2828 3535 4444 4949 5156 5390 5555 6445 7070 7777 9023 9898 10780 11110 12890 14140 14179 15554 18046 19796 22220 24745 25780 28358 31108 36092 38885 45115 49490 54439 56716 63161 70895 77770 90230 98980 99253 108878 126322 130189 141790 155540 180460 198506 217756 252644 260378 272195 283580 315805 397012 496265 520756 544390 631610 650945 694771 911323 992530 1088780 1263220 1301890 1389542 1432079 1822646 1985060 2603780 2779084 2864158 3473855 3645292 4556615 5728316 6379261 6947710 7160395 9113230 10024553 12758522 13895420 14320790 18226460 20049106 25517044 28641580 31896305 40098212 50122765 63792610 70171871 100245530 127585220 140343742 200491060 280687484 350859355 701718710 1403437420