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2921137380 = 2232577132653
BaseRepresentation
bin1010111000011101…
…0000010011100100
321112120122011011100
42232013100103210
521440302344010
61201510040100
7132250154340
oct25607202344
97476564140
102921137380
1112699a6827
12696349030
13377261a75
141d9d58620
151216b72c0
hexae1d04e4

2921137380 has 144 divisors (see below), whose sum is σ = 10269552384. Its totient is φ = 658264320.

The previous prime is 2921137367. The next prime is 2921137393. The reversal of 2921137380 is 837311292.

It is an interprime number because it is at equal distance from previous prime (2921137367) and next prime (2921137393).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73134 + ... + 105786.

It is an arithmetic number, because the mean of its divisors is an integer number (71316336).

Almost surely, 22921137380 is an apocalyptic number.

2921137380 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 2921137380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5134776192).

2921137380 is an abundant number, since it is smaller than the sum of its proper divisors (7348415004).

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

2921137380 is a wasteful number, since it uses less digits than its factorization.

2921137380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32746 (or 32741 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 2921137380 is about 54047.5474004140. The cubic root of 2921137380 is about 1429.4994547875.

The spelling of 2921137380 in words is "two billion, nine hundred twenty-one million, one hundred thirty-seven thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 71 84 90 105 126 140 142 180 210 213 252 284 315 355 420 426 497 630 639 710 852 994 1065 1260 1278 1420 1491 1988 2130 2485 2556 2982 3195 4260 4473 4970 5964 6390 7455 8946 9940 12780 14910 17892 22365 29820 32653 44730 65306 89460 97959 130612 163265 195918 228571 293877 326530 391836 457142 489795 587754 653060 685713 914284 979590 1142855 1175508 1371426 1469385 1959180 2057139 2285710 2318363 2742852 2938770 3428565 4114278 4571420 4636726 5877540 6857130 6955089 8228556 9273452 10285695 11591815 13714260 13910178 16228541 20571390 20865267 23183630 27820356 32457082 34775445 41142780 41730534 46367260 48685623 64914164 69550890 81142705 83461068 97371246 104326335 139101780 146056869 162285410 194742492 208652670 243428115 292113738 324570820 417305340 486856230 584227476 730284345 973712460 1460568690 2921137380