Search a number
-
+
1325037000 = 23353763097
BaseRepresentation
bin100111011111010…
…0111010111001000
310102100021212001110
41032332213113020
510203202141000
6335252050320
744556425430
oct11676472710
93370255043
101325037000
1161aa48a01
1230b9039a0
13181692c81
14c7d9b2c0
157b4d8850
hex4efa75c8

1325037000 has 128 divisors (see below), whose sum is σ = 4724778240. Its totient is φ = 302860800.

The previous prime is 1325036989. The next prime is 1325037041. The reversal of 1325037000 is 7305231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 10549 + ... + 52548.

It is an arithmetic number, because the mean of its divisors is an integer number (36912330).

Almost surely, 21325037000 is an apocalyptic number.

1325037000 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 1325037000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2362389120).

1325037000 is an abundant number, since it is smaller than the sum of its proper divisors (3399741240).

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

1325037000 is a wasteful number, since it uses less digits than its factorization.

1325037000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63128 (or 63114 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 1325037000 is about 36401.0576769412. The cubic root of 1325037000 is about 1098.3548410038.

The spelling of 1325037000 in words is "one billion, three hundred twenty-five million, thirty-seven thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 125 140 150 168 175 200 210 250 280 300 350 375 420 500 525 600 700 750 840 875 1000 1050 1400 1500 1750 2100 2625 3000 3500 4200 5250 7000 10500 21000 63097 126194 189291 252388 315485 378582 441679 504776 630970 757164 883358 946455 1261940 1325037 1514328 1577425 1766716 1892910 2208395 2523880 2650074 3154850 3533432 3785820 4416790 4732275 5300148 6309700 6625185 7571640 7887125 8833580 9464550 10600296 11041975 12619400 13250370 15774250 17667160 18929100 22083950 23661375 26500740 31548500 33125925 37858200 44167900 47322750 53001480 55209875 63097000 66251850 88335800 94645500 110419750 132503700 165629625 189291000 220839500 265007400 331259250 441679000 662518500 1325037000