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1097199376 = 2474134
BaseRepresentation
bin100000101100101…
…1110111100010000
32211110120111120221
41001121132330100
54221340340001
6300512442424
736122020000
oct10131367420
92743514527
101097199376
11513382149
12267549414
13146410000
14a5a10000
15664d11a1
hex4165ef10

1097199376 has 125 divisors (see below), whose sum is σ = 2686637971. Its totient is φ = 434056896.

The previous prime is 1097199373. The next prime is 1097199391. The reversal of 1097199376 is 6739917901.

The square root of 1097199376 is 33124.

It is a perfect power (a square, a biquadrate), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 544008976 + 553190400 = 23324^2 + 23520^2 .

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1097199373) by changing a digit.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 84399946 + ... + 84399958.

Almost surely, 21097199376 is an apocalyptic number.

1097199376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1097199376 is the 33124-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1097199376

1097199376 is an abundant number, since it is smaller than the sum of its proper divisors (1589438595).

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

1097199376 is an frugal number, since it uses more digits than its factorization.

1097199376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 642978, while the sum is 52.

The cubic root of 1097199376 is about 1031.4033016737.

The spelling of 1097199376 in words is "one billion, ninety-seven million, one hundred ninety-nine thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 169 182 196 208 338 343 364 392 637 676 686 728 784 1183 1274 1352 1372 1456 2197 2366 2401 2548 2704 2744 4394 4459 4732 4802 5096 5488 8281 8788 8918 9464 9604 10192 15379 16562 17576 17836 18928 19208 28561 30758 31213 33124 35152 35672 38416 57122 57967 61516 62426 66248 71344 107653 114244 115934 123032 124852 132496 199927 215306 228488 231868 246064 249704 399854 405769 430612 456976 463736 499408 753571 799708 811538 861224 927472 1399489 1507142 1599416 1623076 1722448 2798978 3014284 3198832 3246152 5274997 5597956 6028568 6492304 9796423 10549994 11195912 12057136 19592846 21099988 22391824 39185692 42199976 68574961 78371384 84399952 137149922 156742768 274299844 548599688 1097199376