Search a number
-
+
1203052000 = 2553673
BaseRepresentation
bin100011110110101…
…0001110111100000
310002211202101002111
41013231101313200
54430440131000
6315213325104
741545526143
oct10755216740
93084671074
101203052000
11568100857
12296a96794
131623226b7
14b5ac605a
157093ecba
hex47b51de0

1203052000 has 96 divisors (see below), whose sum is σ = 3000684960. Its totient is φ = 474038400.

The previous prime is 1203051991. The next prime is 1203052001. The reversal of 1203052000 is 2503021.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a super-2 number, since 2×12030520002 = 2894668229408000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1203052001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17955967 + ... + 17956033.

It is an arithmetic number, because the mean of its divisors is an integer number (31257135).

Almost surely, 21203052000 is an apocalyptic number.

1203052000 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 1203052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500342480).

1203052000 is an abundant number, since it is smaller than the sum of its proper divisors (1797632960).

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

1203052000 is an frugal number, since it uses more digits than its factorization.

1203052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 1203052000 is about 34685.0400028600. The cubic root of 1203052000 is about 1063.5587048187.

Adding to 1203052000 its reverse (2503021), we get a palindrome (1205555021).

The spelling of 1203052000 in words is "one billion, two hundred three million, fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 67 80 100 125 134 160 200 250 268 335 400 500 536 670 800 1000 1072 1340 1675 2000 2144 2680 3350 4000 4489 5360 6700 8375 8978 10720 13400 16750 17956 22445 26800 33500 35912 44890 53600 67000 71824 89780 112225 134000 143648 179560 224450 268000 300763 359120 448900 561125 601526 718240 897800 1122250 1203052 1503815 1795600 2244500 2406104 3007630 3591200 4489000 4812208 6015260 7519075 8978000 9624416 12030520 15038150 17956000 24061040 30076300 37595375 48122080 60152600 75190750 120305200 150381500 240610400 300763000 601526000 1203052000