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2973157940 = 225378348407
BaseRepresentation
bin1011000100110110…
…1100101000110100
321200012112001221202
42301031230220310
522042112023230
61211005032032
7133451265644
oct26115545064
97605461852
102973157940
1112962a7625
126ab855618
13384c76a6c
14202c1a524
15126040a45
hexb136ca34

2973157940 has 48 divisors (see below), whose sum is σ = 6489770112. Its totient is φ = 1143156096.

The previous prime is 2973157919. The next prime is 2973157949. The reversal of 2973157940 is 497513792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2973157949) 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, 37217 + ... + 85623.

It is an arithmetic number, because the mean of its divisors is an integer number (135203544).

Almost surely, 22973157940 is an apocalyptic number.

2973157940 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 2973157940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3244885056).

2973157940 is an abundant number, since it is smaller than the sum of its proper divisors (3516612172).

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

2973157940 is a wasteful number, since it uses less digits than its factorization.

2973157940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48536 (or 48534 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 47.

The square root of 2973157940 is about 54526.6718221459. The cubic root of 2973157940 is about 1437.9352384911.

The spelling of 2973157940 in words is "two billion, nine hundred seventy-three million, one hundred fifty-seven thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 37 74 83 148 166 185 332 370 415 740 830 1660 3071 6142 12284 15355 30710 48407 61420 96814 193628 242035 484070 968140 1791059 3582118 4017781 7164236 8035562 8955295 16071124 17910590 20088905 35821180 40177810 80355620 148657897 297315794 594631588 743289485 1486578970 2973157940