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107941248 = 273429359
BaseRepresentation
bin1100110111100…
…00110110000000
321112002222120000
412123300312000
5210113104443
614413320000
72450325342
oct633606600
9245088500
10107941248
1155a25948
1230196000
131949427c
141049b292
1597228d3
hex66f0d80

107941248 has 160 divisors (see below), whose sum is σ = 333234000. Its totient is φ = 34642944.

The previous prime is 107941199. The next prime is 107941259. The reversal of 107941248 is 842149701.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 300493 + ... + 300851.

Almost surely, 2107941248 is an apocalyptic number.

107941248 is a gapful number since it is divisible by the number (18) 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 107941248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166617000).

107941248 is an abundant number, since it is smaller than the sum of its proper divisors (225292752).

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

107941248 is an equidigital number, since it uses as much as digits as its factorization.

107941248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 107941248 is about 10389.4777539586. The cubic root of 107941248 is about 476.1339453095.

The spelling of 107941248 in words is "one hundred seven million, nine hundred forty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 81 87 96 108 116 128 144 162 174 192 216 232 261 288 324 348 359 384 432 464 522 576 648 696 718 783 864 928 1044 1077 1152 1296 1392 1436 1566 1728 1856 2088 2154 2349 2592 2784 2872 3132 3231 3456 3712 4176 4308 4698 5184 5568 5744 6264 6462 8352 8616 9396 9693 10368 10411 11136 11488 12528 12924 16704 17232 18792 19386 20822 22976 25056 25848 29079 31233 33408 34464 37584 38772 41644 45952 50112 51696 58158 62466 68928 75168 77544 83288 93699 100224 103392 116316 124932 137856 150336 155088 166576 187398 206784 232632 249864 281097 300672 310176 333152 374796 413568 465264 499728 562194 620352 666304 749592 843291 930528 999456 1124388 1240704 1332608 1499184 1686582 1861056 1998912 2248776 2998368 3373164 3722112 3997824 4497552 5996736 6746328 8995104 11993472 13492656 17990208 26985312 35980416 53970624 107941248