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2978000140 = 2252912740429
BaseRepresentation
bin1011000110000000…
…1010110100001100
321200112122002012111
42301200022310030
522044332001030
61211300513404
7133540404103
oct26140126414
97615562174
102978000140
111299004645
126b13ab864
13385c80a7b
1420371b03a
1512669a62a
hexb180ad0c

2978000140 has 48 divisors (see below), whose sum is σ = 6520550400. Its totient is φ = 1141039872.

The previous prime is 2978000119. The next prime is 2978000147. The reversal of 2978000140 is 410008792.

It is not an unprimeable number, because it can be changed into a prime (2978000147) 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, 53446 + ... + 93874.

It is an arithmetic number, because the mean of its divisors is an integer number (135844800).

Almost surely, 22978000140 is an apocalyptic number.

2978000140 is a gapful number since it is divisible by the number (20) 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 2978000140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3260275200).

2978000140 is an abundant number, since it is smaller than the sum of its proper divisors (3542550260).

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

2978000140 is a wasteful number, since it uses less digits than its factorization.

2978000140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40594 (or 40592 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 2978000140 is about 54571.0558813003. The cubic root of 2978000140 is about 1438.7154407343.

The spelling of 2978000140 in words is "two billion, nine hundred seventy-eight million, one hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 29 58 116 127 145 254 290 508 580 635 1270 2540 3683 7366 14732 18415 36830 40429 73660 80858 161716 202145 404290 808580 1172441 2344882 4689764 5134483 5862205 10268966 11724410 20537932 23448820 25672415 51344830 102689660 148900007 297800014 595600028 744500035 1489000070 2978000140