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1097388972 = 223523191257
BaseRepresentation
bin100000101101000…
…1101001110101100
32211110221010200000
41001122031032230
54221412421342
6300520504300
736123436521
oct10132151654
92743833600
101097388972
115134a1639
1226761b090
131464783b4
14a5a5d148
156651c44c
hex4168d3ac

1097388972 has 144 divisors (see below), whose sum is σ = 3029225472. Its totient is φ = 346705920.

The previous prime is 1097388953. The next prime is 1097388977. The reversal of 1097388972 is 2798837901.

It is a super-3 number, since 3×10973889723 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1097388977) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4269868 + ... + 4270124.

It is an arithmetic number, because the mean of its divisors is an integer number (21036288).

Almost surely, 21097388972 is an apocalyptic number.

1097388972 is a gapful number since it is divisible by the number (12) 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 1097388972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514612736).

1097388972 is an abundant number, since it is smaller than the sum of its proper divisors (1931836500).

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

1097388972 is a wasteful number, since it uses less digits than its factorization.

1097388972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The square root of 1097388972 is about 33126.8617891885. The cubic root of 1097388972 is about 1031.4627070659.

The spelling of 1097388972 in words is "one billion, ninety-seven million, three hundred eighty-eight thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 191 207 243 257 276 324 382 414 486 514 573 621 764 771 828 972 1028 1146 1242 1542 1719 1863 2292 2313 2484 3084 3438 3726 4393 4626 5157 5589 5911 6876 6939 7452 8786 9252 10314 11178 11822 13179 13878 15471 17572 17733 20628 20817 22356 23644 26358 27756 30942 35466 39537 41634 46413 49087 52716 53199 61884 62451 70932 79074 83268 92826 98174 106398 118611 124902 147261 158148 159597 185652 196348 212796 237222 249804 294522 319194 355833 441783 474444 478791 589044 638388 711666 883566 957582 1067499 1129001 1325349 1423332 1436373 1767132 1915164 2134998 2258002 2650698 2872746 3387003 3976047 4269996 4516004 5301396 5745492 6774006 7952094 10161009 11928141 13548012 15904188 20322018 23856282 30483027 40644036 47712564 60966054 91449081 121932108 182898162 274347243 365796324 548694486 1097388972