Search a number
-
+
2977134690 = 2351759163607
BaseRepresentation
bin1011000101110011…
…0111100001100010
321200111000010000210
42301130313201202
522044121302230
61211230154550
7133530140655
oct26134674142
97614003023
102977134690
1112985733a2
126b1052a56
13385a39b7a
1420357389c
15126578eb0
hexb1737862

2977134690 has 128 divisors (see below), whose sum is σ = 7753605120. Its totient is φ = 728828928.

The previous prime is 2977134679. The next prime is 2977134761. The reversal of 2977134690 is 964317792.

It is a happy number.

2977134690 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×29771346902 = 17726661924802792200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4904367 + ... + 4904973.

It is an arithmetic number, because the mean of its divisors is an integer number (60575040).

Almost surely, 22977134690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2977134690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3876802560).

2977134690 is an abundant number, since it is smaller than the sum of its proper divisors (4776470430).

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

2977134690 is a wasteful number, since it uses less digits than its factorization.

2977134690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856.

The product of its (nonzero) digits is 571536, while the sum is 48.

The square root of 2977134690 is about 54563.1257352436. The cubic root of 2977134690 is about 1438.5760567118.

The spelling of 2977134690 in words is "two billion, nine hundred seventy-seven million, one hundred thirty-four thousand, six hundred ninety".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 59 85 102 118 163 170 177 255 295 326 354 489 510 590 607 815 885 978 1003 1214 1630 1770 1821 2006 2445 2771 3009 3035 3642 4890 5015 5542 6018 6070 8313 9105 9617 10030 10319 13855 15045 16626 18210 19234 20638 27710 28851 30090 30957 35813 41565 48085 51595 57702 61914 71626 83130 96170 98941 103190 107439 144255 154785 163489 179065 197882 214878 288510 296823 309570 326978 358130 490467 494705 537195 593646 608821 817445 980934 989410 1074390 1217642 1484115 1634890 1681997 1826463 2452335 2968230 3044105 3363994 3652926 4904670 5045991 5837519 6088210 8409985 9132315 10091982 11675038 16819970 17512557 18264630 25229955 29187595 35025114 50459910 58375190 87562785 99237823 175125570 198475646 297713469 496189115 595426938 992378230 1488567345 2977134690