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4122989920 = 25573722689
BaseRepresentation
bin1111010110111111…
…1101010101100000
3101122100010120220101
43311233331111200
531420441134140
61521041552144
7204112556530
oct36557752540
911570116811
104122989920
111826358395
12970945654
1350925450a
142b180b4c0
15191e6b99a
hexf5bfd560

4122989920 has 144 divisors (see below), whose sum is σ = 11445325920. Its totient is φ = 1374879744.

The previous prime is 4122989917. The next prime is 4122989933. The reversal of 4122989920 is 299892214.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1531936 + ... + 1534624.

It is an arithmetic number, because the mean of its divisors is an integer number (79481430).

Almost surely, 24122989920 is an apocalyptic number.

4122989920 is a gapful number since it is divisible by the number (40) 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 4122989920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5722662960).

4122989920 is an abundant number, since it is smaller than the sum of its proper divisors (7322336000).

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

4122989920 is a wasteful number, since it uses less digits than its factorization.

4122989920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2785 (or 2740 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 46.

The square root of 4122989920 is about 64210.5125349424. The cubic root of 4122989920 is about 1603.5066216385.

The spelling of 4122989920 in words is "four billion, one hundred twenty-two million, nine hundred eighty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 37 40 56 70 74 80 112 140 148 160 185 224 259 280 296 370 518 560 592 740 1036 1120 1184 1295 1369 1480 2072 2590 2689 2738 2960 4144 5180 5378 5476 5920 6845 8288 9583 10360 10756 10952 13445 13690 18823 19166 20720 21512 21904 26890 27380 37646 38332 41440 43024 43808 47915 53780 54760 75292 76664 86048 94115 95830 99493 107560 109520 150584 153328 188230 191660 198986 215120 219040 301168 306656 376460 383320 397972 430240 497465 602336 696451 752920 766640 795944 994930 1392902 1505840 1533280 1591888 1989860 2785804 3011680 3183776 3482255 3681241 3979720 5571608 6964510 7362482 7959440 11143216 13929020 14724964 15918880 18406205 22286432 25768687 27858040 29449928 36812410 51537374 55716080 58899856 73624820 103074748 111432160 117799712 128843435 147249640 206149496 257686870 294499280 412298992 515373740 588998560 824597984 1030747480 2061494960 4122989920