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1002374380 = 225721815651
BaseRepresentation
bin111011101111110…
…000010011101100
32120212010220011001
4323233300103230
54023101440010
6243244210044
733561020200
oct7357602354
92525126131
101002374380
114748a5787
1223b839924
1312c88bb47
14971a8b00
155ceeec3a
hex3bbf04ec

1002374380 has 72 divisors (see below), whose sum is σ = 2462621616. Its totient is φ = 341712000.

The previous prime is 1002374369. The next prime is 1002374381. The reversal of 1002374380 is 834732001.

It is a super-3 number, since 3×10023743803 (a number of 28 digits) contains 333 as substring.

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 (1002374381) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174555 + ... + 180205.

It is an arithmetic number, because the mean of its divisors is an integer number (34203078).

Almost surely, 21002374380 is an apocalyptic number.

1002374380 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 1002374380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231310808).

1002374380 is an abundant number, since it is smaller than the sum of its proper divisors (1460247236).

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

1002374380 is a wasteful number, since it uses less digits than its factorization.

1002374380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5855 (or 5846 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 1002374380 is about 31660.2965873663. The cubic root of 1002374380 is about 1000.7908344161.

The spelling of 1002374380 in words is "one billion, two million, three hundred seventy-four thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 181 196 245 362 490 724 905 980 1267 1810 2534 3620 5068 5651 6335 8869 11302 12670 17738 22604 25340 28255 35476 39557 44345 56510 79114 88690 113020 158228 177380 197785 276899 395570 553798 791140 1022831 1107596 1384495 2045662 2768990 4091324 5114155 5537980 7159817 10228310 14319634 20456620 28639268 35799085 50118719 71598170 100237438 143196340 200474876 250593595 501187190 1002374380